The Compound Interest is $7,290.00.
What is Compound Interest?In order to calculate compound interest, multiply the principal of the original loan by the annual interest rate multiplied by the number of compound periods minus one.
Given:
P= 6250
T= 2 years
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 6,250.00[tex](1 + 0.08/1)^{(1)(2)[/tex]
A = 6,250.00(1 + 0.08)²
A = $7,290.00
Hence, The Compound Interest is $7,290.00.
Learn more about Compound Interest here:
https://brainly.com/question/14295570
#SPJ1
Luis bought a $2,100 TV and had to make a 20% down payment at the time of purchase. What was his down payment price?
Answer:
Luis had to make a $420 down payment
Step-by-step explanation:
10%: $2,100 / 10 = $210
20%: $210 x 2 = $420
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x+4
x+y≤6
The graph of inequalities equation on coordinate plane is given below ↓↓↓
Difference between equality and inequality equations
Both mathematical phrases, equality and inequality , are created by connecting two expressions.The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols show that the two expressions in an inequality are not always equal: >, <, ≤ or ≥. Or in simple words the equation which has '=' sign is an equality equation while the inequality equation has the signs are >, <, ≤ or ≥.
The inequalities equation is ,
y> 2x+4
x+y≤6
so, the graph is ↓↓↓
To read more about Inequality Equation
https://brainly.com/question/24372553
#SPJ1
Determine the intercepts of the line.
What set of line segments could create a right triangle:
15, 30, 35 - 15, 36, 39 - 15, 20, 29 or 5, 15, 30
Answer:
(b) 15, 36, 39
Step-by-step explanation:
You want to know which sets of segment lengths could form a right triangle.
Right triangleFor segments to form a right triangle, the lengths must satisfy the triangle inequality and the Pythagorean theorem. The latter condition can often be determined by looking at the reduced ratios of the lengths, and comparing to known Pythagorean triples.
15, 30, 35The ratio of lengths is 3:6:7. There are no integer side lengths that will form a right triangle when one of them is double another. Not a right triangle.
15, 36, 39The ratio lengths is 5:12:13. These numbers are a common Pythagorean triple, so will form a right triangle.
15, 20, 29The ratio of the smaller two numbers is 3:4. In order for these to form a right triangle, they must be part of a triangle with ratios 3:4:5. That would be 15, 20, 25. The side length 29 is too long for a right triangle. Not a right triangle.
5, 15, 30The two short sides are too short to reach the ends of the long side. These lengths will not form a triangle.
__
Additional comment
The table in the attachment computes a²+b²-c². When that value is 0, the Pythagorean theorem is satisfied, and the triangle is a right triangle. Positive numbers indicate an acute triangle; negative numbers indicate an obtuse triangle.
The Pythagorean triples that came into play in this answer are {3, 4, 5} and {5, 12, 13}. Other triples commonly seen are {7, 24, 25} and {8, 15, 17}.
Type the area of the rectangle into the box.
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
A = 15 x 2 = 30
CAN SOMEONE HELP ME I NEED TO KNOW IF IM DOING THIS RIGHT??
I named the angles
But I need help finding the value- for ex a. Is 90* degrees
And c=30*
So is the formula
B+c=a
But I already found C which is 30*
So I did
A+30=90
Which is a = 60*
I need help with
Answer:
a = 90°b = 60°c = 30°d = 150°e = 30°Step-by-step explanation:
You want the measures of the named angles in the given figure, given c=30°.
Angle relationsA right angle is 90°.
A linear pair totals 180°.
Vertical angles are congruent.
Angles that make up a right angle total 90°.
ApplicationAngle 'a' is marked as a right angle, so a = 90°.
Angle b is complementary to angle c, so is ...
b + c = 90°
b = 90° -c = 90° -30° = 60°
Angle c is given as 30°.
Angle d is part of a linear pair with angle c, so is ...
d = 180° -30° = 150°
Angle e is a vertical angle with respect to angle c, so is congruent to it.
e = 30°
find the 73rd term of the following arithmetic sequence 18,22,26,30
The arithmetic sequence has the 73rd term of 306
How to find the 73rd term for the arithmetic sequence?The sequence is given as:
18,22,26,30,....
The above sequence has the following parameters
First term, a = 18Common difference, d = 4 i.e. 22 - 18 = 4Number of terms , n = 73This means that the sequence is an arithmetic sequence
The nth term of an arithmetic sequence is calculated as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation
So, we have the following equation
f(73) = 18 + (73 - 1) * 4
Evaluate
f(73) = 306
Hence, the 73rd term for the arithmetic sequence is 306
Read more about sequence at
brainly.com/question/1509142
#SPJ1
enter an expression in the box to write the equation of a line that passes through the point (-6,2) and is perpendicular to the line y= 3/2x + 4
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{2}}x+4 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is -2/3 and that it passes through (-6 , 2)
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{(-6)}) \implies y -2= -\cfrac{2}{3} (x +6) \\\\\\ y-2=-\cfrac{2}{3}x-4\implies {\Large \begin{array}{llll} y=-\cfrac{2}{3}x-2 \end{array}}[/tex]
Write each number as a product using gcf as a factor sipping distributive property the numbers are 28 49 77 and 3 gcf
Using as a product using gcf as a factor sipping distributive property For the numbers 28 and 49, GCF is 77.
Define GCF.The biggest number that both numbers can be divided by to get the two numbers' largest common factor. The smallest number that is a multiple of both numbers is the least common multiple of the two numbers. The largest number that may divide evenly into two or more other numbers is known as the greatest common factor (GCF). This is also sometimes referred to as the highest common factor (HCF) or the greatest common divisor (GCD).
Given,
Factor sipping distributive property,
For the numbers 28 and 49
GCF:
28 + 49
7(4) + 7(7)
7(4+7)
7(11)
77
Using as a product using gcf as a factor sipping distributive property For the numbers 28 and 49, GCF is 77.
To learn more about GCF, visit:
https://brainly.com/question/11444998
#SPJ13
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper
Answer:(1) y-intercept exists 490 and the slope is -2/3x.
(2) First, I observe the point (0,490) and plot a point there. Then utilize our slope -2/3 to compute the direction and angle the line moves by measuring 2 down and 3 to the right.
(3) The equation of the function is
The diagram illustrates how many wraps could've been sold for each number of sandwich sales to maintain the identical earnings of $1,470.
(4) The graph of the equation is shown below.
(5) The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.
(6) The equation is
Step-by-step explanation:
(1)
slope-intercept form of a linear equation is where one side includes only "y".
⇒
⇒
Therefore,
.
Hence, the y-intercept exists at 490 and the slope is -2/3x.
(2)
I would graph this line using the slope-intercept method First, I observe the point (0,490) and plot a point there. Then utilize our slope -2/3 to compute the direction and angle the line moves by measuring 2 down and 3 to the right.
(3)
The equation of the function is. The diagram illustrates how many wraps could've been sold for each number of sandwich sales to maintain the identical earnings of $1,470.
(4)
The graph of the function is shown below,
(5)
Therefore,
The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.
(6)
y intercept= 300
The equation will be,
angle 2=angle 3
angle 1 + angle 2= 180
prove angle 1+angle 3=180
Answer:
supplementary angles
Step-by-step explanation:
1.) angle 1& angle 2 is supple. angle 2 & and angle 3 is supple.; given
2.) measure of angle 1+ measure of angle 2= 180, measure of angle 2+ measure of angle 3=180; Def. of Supple.
3.) measure of angle 1+ measure of angle 2 = measure of angle 2+measure of angle 3; Transitive
4.) measure of angle 1= measure of angle 3; Subtraction prop. of equality
5.) measure of angle 1 is congruent to measure of angle 3; Def. of Congruence
7 The profit function, p(x), for a company is the
cost function, c(x), subtracted from the revenue
function, (x). The profit function for the
Acme Corporation is p(x) = -0.5x² + 250x - 300
and the revenue function is r(x) = -0.3x² + 150x.
The cost function for the Acme Corporation is
1) c(x) = 0.2x² - 100x + 300
2) c(x) = 0.2x² + 100x + 300
3) c(x) = -0.2x² + 100x - 300
4) c(x) = -0.8x² + 400x - 300
The cost function for the Acme Corporation is -0.2x² + 100x - 300. a cost function, transfers an event or the values of one or more variables onto a real number that signifies the event's "cost" in real terms.
How to find cost function ?A loss function, also known as a cost function, is a function used in mathematical optimization and decision theory that transfers an event or the values of one or more variables onto a real number that intuitively represents some "cost" connected to the occurrence. A loss function is the goal of an optimization problem.
The event in question is some function of the difference between the estimated and true values for a particular instance of data, and in statistics, parameter estimation is typically done using a loss function.
Given that the profit function is
p(x) = 0.5x^2 + 250x+300
also given that the revenue is given as
r(x) = 0.3x^2 + 150x
we know that profit= revenue - cost
hence cost = revenue-profit
cost = r(x) -p(x)
cost= 0.3x^2 + 150x-(0.5x^2 + 250x+300)
cost= 0.3x^2 + 150x-0.5x^2 - 250x-300
collect like terms
cost=0.3x^2-0.5^2+150x-250x-300
The cost function for the Acme Corporation = -0.2x^2-100x-300
To learn more about cost function refer :
https://brainly.com/question/2292799
#SPJ1
ASAP PLS ANSWER ONLY THE SMARTEST CAN GET IT RIGHT
Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
1. Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.
A. 1/100
B. 1/80
C. 1/95
D. 1/76
2. What is the P(red, then red) without replacement.
A. 1/19
B. 1/16
C. 9/39
D. 9/20
Answer:
A
B
Step-by-step explanation:
that's it
What is the solution to the system graphed below? PLS ANSWER ASAP
The system of equations has its solutions to be (0, 3)
How to determine the solution to the system of equations?From the question, the system of equations is represented on the graph
On the graph, we have the following representations
Two lines of different colorsBoth lines intersect at a pointSay the functions are f(x) and g(x)
To determine the solution to the system of equations, we set both equations equal
i.e. f(x) = g(x)
This in other words mean that we determine the coordinates of the points where the graphs intersect
In this case, they intersect at point (0, 3)
This represents the solution
Hence, the solution to the system of equations is (0, 3)
Read more about system of equations at
brainly.com/question/13729904
#SPJ1
2
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x+9.28.
The function
If they both re
h(x)=0.75x+26.59
h(x) = 0.75x+8.03
h(x) = 2.55x+8.03
h(x) = 2.55x+26.59
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
ence will be $
Reset
Next
A statistician calculates that 8% of Americans own a Rolls Royce.
If the statistician is right, what is the probability that the proportion of Rolls Royce owners in a sample of 694 Americans would differ from the population proportion by less than 3%? Round your answer to four decimal places.
The probability that the proportion of Rolls Royce owners in a sample of 694 Americans would differ from the population proportion by less than 3% is; 0.36%
How to use the central limit theorem?
The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ/√n
The standard deviation for proportion is given by the formula;
s = √(p(1 - p)/n)
We are given;
p = 8% = 0.08
n = 694
Thus;
s = √(0.08(1 - 0.08)/694)
s = 0.0103
Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Due to the fact that the normal distribution is symmetric, the probabilities will be equal, and as a result, we find one of them and multiply by 2.
Probability the proportion is less than 5%:
P-value of Z when X = 0.05.
z = (X - μ)/s
z = (0.05 - 0.08)/0.0103
z = -2.91
From p-value from z-score calculator, we have;
p-value = 0.001807
We multiply it by 2 to get the probability
Probability = 2 * 0.001807 = 0.0036 = 0.36%
Read more about central limit theorem at; https://brainly.com/question/25800303
#SPJ1
Use the z-distribution table on pages A-1 and A-2 or technology to solve. Suppose a set of data is normally distributed. Below which z-score do approximately 34 of the data lie?
The z-score under which 3/4 of the data lies is of:
Z = 0.675.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The z-score under which 75% of the distribution lies is the 75th percentile, hence it is the value of Z with a p-value of 0.75.
Looking at the z-table, this value is of 0.675, as 0.675 is the mean of the p-values of Z = 0.67 and Z = 0.68.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
Find the equation of the line passing through (1, 5) and parallel to y = 3x – 1.
=====================================================
Explanation:
The equation y = 3x-1 is in slope-intercept form y = mx+b
m = 3 = slopeb = -1 = y interceptParallel lines have equal slopes, but different y intercepts.
The answer will also have a slope of m = 3.
Plug that slope value, and the coordinates of the given point [tex](x_1,y_1) = (1,5)[/tex] , into the point-slope formula below.
Solve for y.
[tex]y - y_1 = m(x - x_1)\\\\y - 5 = 3(x - 1)\\\\y - 5 = 3x - 3\\\\y = 3x - 3+5\\\\y = 3x + 2\\\\[/tex]
That's how we arrive at the answer of y = 3x+2
As a check, plugging x = 1 into that answer should get us y = 5.
It confirms that the point (1,5) is on this line.
y varies inversely with the square x. If y =
-4 when x =
-2, find y when x= 7.
The value of y is - 0.326 when x = 7.
What are ratio and proportion?A ratio is a divisional comparison of two quantities, and a proportion is the equality of two ratios. A ratio is typically expressed as x: y or x/y, although it may alternatively be read as x is to y.
Comparatively speaking, a proportional equation states that two ratios are comparable. A ratio is expressed as x: y: : z: w and is understood to mean that x is to y as z is to w. Here, w and y are not equal to 0, therefore x/y Equals z/w.
A connection between two quantities is said to be in inverse proportion if one quantity rises while the other falls, and vice versa. As a result, an inverse ratio is expressed as y ∝ 1/x.
The general equation of proportion is given by
y = k/x²
-4 = k/(-2)²
k = -4(4)=-16
y = -16/x²
When x=7, then
y= -16/49
y= - 0.326
To know more about inverse proportion, visit:
https://brainly.com/question/28054205
#SPJ1
Tara and friends order a pizza. Tara eats 3 of the 10 slices and pays $4.50 for her share. If Tara has paid atleast her fair share, WRITE, and SOLVE to represent the cost of the pizza.
The equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.
According to the question,
We have the following information:
Tara eats 3 of the 10 slices and pays $4.50 for her share.
Now, let's take the cost of one slice of the pizza to be $x.
So, we have the following expression:
3x = 4.50
Dividing by 3 on both sides of the equation:
x = 4.50/3
x = $1.50
Now, there are 10 slices in pizza.
Cost of pizza = 10x
Cost of pizza = 10*1.50
Cost of the pizza = $15
Hence, the equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.
To know more about cost of the pizza here
https://brainly.com/question/28853414
#SPJ1
What is the image of (0, -4) after a dilation by scale factor of 2 centered at the
origin?
The image of of (0,-4) After the dilation by the scale factor of 2 at the center is (0,-8)
What is the scale factor?
A scale factor is Scaling the shape of an object. it means the shape of the object remains the same but the size of the object is either increased or decreased. A scale factor greater than 1 means size is increased and less than one means size is decreased
We are given a point (0,-4)
Which is to be scaled by the factor of 2 at the center position
As the value is greater than 1 the size increase
We multiply the coordinate to find the new coordinates
We get (0,-8)
Hence, The image of of (0,-4) After the dilation by the scale factor of 2 at the center is (0,-8)
To learn more about scaling please refer the following link
https://brainly.com/question/26855848
#SPJ1
A CFL football player has an annual salary of $305 000. The player donates 1/8 of his salary to charity . What amount is this ?
Answer: $38,125
Step-by-step explanation:
1/8*305000
Jarrod lives 2 3/4 miles from the swimming pool. He walked 7/8 mile to the library. Then he walked 7/8 mile to the museum. How many more miles does Jarrod need to walk to reach the swimming pool?
Jarrod needs to walk 1 mile to reach the swimming pool
How to calculate the miles he needs to walk to reach the swimming pool?
Given that: He lives 2 3/4 miles from the swimming pool
He walked 7/8 mile to the library
Then he walked 7/8 mile to the museum
The concept we need here is the addition or subtraction of fractions
To determine the miles left, we need to subtract the miles he walked from the miles 2 3/4 miles (since that is the distance from where he lives to the swimming pool)
Thus:
Miles left = 2 3/4 - 7/8 - 7/8
= 11/4 - 7/8 -7/8 (Note: 2 3/4 = 11/4)
= 8/8 = 1
Therefore, he needs to walk 1 mile to reach the swimming pool
Learn more about fractions on:
https://brainly.com/question/11562149
#SPJ1
In a set of eight consecutive integers, the smallest integer is more than $\frac35$ of the largest integer. What is the smallest possible value of the sum of the eight integers?
Answer:
116.
Step-by-step explanation:
Your welcome <3.
Answer:
116
Step-by-step explanation:
The daily production costs for a golf ball manufacturer can be modeled with the function C(x) = 0.1x2 - 7x + 140, where C(x) is the total cost and x is the number of golf balls produced per hour. Use the graph to answer the question.
Graph of function c of x equals 0 point 1 x squared minus 7 x plus 140. The graph has the axis labeled as number of golf balls produced, and the y-axis labeled as cost. The curve begins at (0, 140), decreases to (35, 17.5), and then increases to infinity.
Which statement shows the correct relationship between production cost and number of golf balls produced?
The statement that shows the correct relationship between production cost and the number of golf balls produced is that the minimum production cost of 17.5 occurs when 35 golf balls are produced.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Then the minimum is represented by the formula;
c - b² / 4a
We have given equation C(x) = 0.1x² - 7x + 140
a = 0.1
b = -7
c = 140
Now plugging in values to c - b² / 2a
= 140 - 7² / (4 * 0.1)
= 17.5
The minimum production cost will be; 17.5
Now plugging 35 into the given equation;
C(x) = 0.1x² - 7x + 140
C(x) = 0.1 ( 35)² - 7 (35) + 140
C(x) = 17.5
Therefore, 35 golf balls produce the minimum cost.
Learn more on quadratic equations here:
brainly.com/question/29244327
#SPJ1
Answer:
that the minimum production cost of 17.5 occurs when 35 golf balls are produced.
Step-by-step explanation:
Please help me with these thank you
The value of (2/3) ÷ (1/4) is 8/3 and the value of 7 ÷ (2/3) is 21/2.
This is a question from the division of fractions.
We know the property of fractions is given by:-
(m/n) ÷ (a/b) = (m/n)*(b/a) = mb/na
Hence, we can write,
(2/3) ÷ (1/4) = (2/3) * (4/1) = 2*4/3*1 = 8/3
7 ÷ (2/3) = (7/1)*(3/2) = 7*3/ 1*2 = 21/2
Fractions
A fraction represents a part of a whole or, more generally, any number of equal parts. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.
To learn more about Numerators, here:-
https://brainly.com/question/7067665
#SPJ1
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
Leticia contributes $200 at 5% interest. Assuming that y addresses how much cash after x time spans.
Then the exponential equation is written as,
y = 200(1 + 0.05)ˣ
y = 200 (1.05)ˣ
The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
Gardner Pete wanted to fertilize his garden. The garden has a radius of 10 feet. Each bag of fertilizer covers 50 feet. How many bags will he need to buy?
He needs to buy 7 bags of fertilizer to fertilize the garden
The radius of the garden = 10 feet
The area of the garden A = π × [tex]r^2[/tex]
Where A is the area of the garden
r is the radius of the garden
Substitute the values in the equation
A = π × [tex]10^2[/tex]
= π × 100
= 314.16 feet square
Each bag of fertilizer covers 50 square feet
Then the number of bags required to fertilize the garden = The area of the garden / 50
Substitute the values in the equation
= 314.16 / 50
= 6.28
≈ 7 bags
Hence, he need to buy 7 bags of fertilizer to fertilize the garden
Learn more about area here
brainly.com/question/28642423
#SPJ1
Suppose that $1900 is invested at an interest rate of 3.25% per year, compounded continuously. After how many years will the initial investment be doubled?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
The time that initial investment be doubles is 20 year.
What is compound interest?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest. It is the result of reinvesting interest, or adding it to the loaned capital rather than paying it out, or requiring payment from borrower, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.
Compound interest = principal (1+r/100)^n
compound interest = 3800.
3800 = 1900(1+3.5%)^n
3800/1900 = 1.035^n
taking natural log
ln(2) = n ln(1.035)
n = ln(2)/ln(1.035)
n = 20.15
Hence, time is 20 years.
To know more about compound interest, visit:
https://brainly.com/question/20406888
#SPJ9
The equation m = 4b represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).
Determine the constant of proportionality.
one fourth
1
4
8
For given equation, the constant of proportionality is 4
In this question, we have been given an equation m = 4b that represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).
We need to determine the constant of proportionality.
We know that the the constant of proportionality is nothing but the ratio of two proportional values.
In this case the time a chef needs to cook depend on the number of bacon cheeseburgers (b).
So, m is directly proportional to the b
Therefore, the constant of proportionality is 4
Learn more about the constant of proportionality here:
https://brainly.com/question/22620356
#SPJ1
Answer:
The answer is 4
Step-by-step explanation:
I hope this helps!!
