A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?
$1,248.48
$2,472.48
$3,672.48
$3,745.93
Answer:
$3,745.93
Step-by-step explanation:
i got it right on edge
What is the rational function? Explain.
Vertical asymptote of x=3
Horizontal Asymptote of y=1.
x intercept is at (2,0)
y intercept at (0, 2/3)
Answer:
y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)
Step-by-step explanation:
A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).
For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymptotes must look like ...
f(x) = (x+2)(x-1)/((x+3)(x-6))
This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.
The rational function may be ...
y = -2(x +2)(x -1)/((x +3)(x -6))
If you want the factors multiplied out, this becomes
y = (-2x^2 -2x +4)/(x^2 -3x -18)
M is the midpoint of LN. L has coordinates (1 ,12) and N has coordinates (5, -4). Find the coordinate of M.
Answer:
(3,4)
Step-by-step explanation:
Using midpoint formula
We get,
(1+5/2,12-4/2)(6/2,8/2)(3,4)HELP PLEASE IM A WEEK BEHIND!!!
Week 1 = ? savings
Week 2 = ? savings
Week 3 = ? Savings
Week 4 = ? Savings
Week 5 = ? Savings
Week 6 = ? Savings
Week 7 = ? Savings
Week 8 = ? Savings
Answer:
Step-by-step explanation:
Week 1 = 78
Week 2 = 100
Week 3 = 122
Week 4 = 154
Week 5 = 173
Week 6 = 194
Week 7 = 213
Week 8 = 131
Can y’all please help me ..ASAP
Answer:
a = 7
Step-by-step explanation:
We know that the angle is 90°, so we can subtract the other known angle measure from 90.90 - 52 = 38
Now we know what the other angle's measure is5a + 3 = 38
Subtract5a + 3 = 38
-3 -3
Divide[tex]\frac{5a}{5}[/tex]= [tex]\frac{35}{5}[/tex]
a = 7
ACTIVITY - Let's Be Reasonable
POSSIBLE POINTS: 20
Julie is balancing her checkbook. Her beginning balance is $325.46, her deposits add up to $285.38, and her withdrawals add up to $683.27.
Approximately how much is her ending balance?
A
B.
About -$70
About - $600
C. About $700
D. About $1,300
x Clear
Undo
Redo
Answer:
About -$70
she broke
One number is 4 more than twice the other number. Their sum is 40. Find the numbers.
Answer: 12
Step-by-step explanation:
Lets take x as one number and y as another
x + y = 40
2y + 4 = x
Lets replace x with the equation above
2y + 4 + y = 40
3y + 4 = 40
3y = 40 - 4
3y = 36
y = 36/3
y = 12
Answer:
12, 28
Step-by-step explanation:
4 times 3 is 12, and 12 times 2 plus 4 is 28, there's your answer!
Hope this helps :)
Solve for x:
11x = 6x + 20
Answer:
x = 4
Step-by-step explanation:
11x= 6x +20
-6x -6x
(subtract 6x from both sides)
5x = 20
/5x /5x
divide 5x from both sides
x=4
an amount shall become 300% of the principal amount when the rate is 10% per annum then what is the time?
The time Period is 2990 years.
Suppose the principal is P, and the interest rate is R, and the time period is T.
The total amount is A.A = P + I, where I is the interest earned by the principal.
The interest earned is given by the formulaI = (P × R × T)/100Using the values given in the question, we can rewrite it as300P = P + (10/100) × P × T
Thus, we can write300P = P + 0.1PTake out P from both sides of the equation, we get299P = 0.1P × TWe can further simplify it by dividing both sides by 0.1P.2990 = T
Therefore, the time period is 2990 years.
the time period is 2990 years. In practice, interest rates are never that high, and even if they were, it would be impossible for anyone to wait for that long to earn that much interest.
It is more likely that there is an error in the question itself. The question might be asking for something else or it might have a typo.
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How do you write six hundred and eight thousand in decimal form
Answer:
608,000
Step-by-step explanation:
their is not a th at the end of the word form
What are reasons A, B, and C in the proof? Prove: (4 · 3)l + (2 · 4)l = 20l Statements Reasons (4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________ = 4(3l + 2l) B. _________________ = 4(5l) Addition = (4 · 5)l C. _________________ = 20l Multiplication A. Commutative Property of Addition B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Associative Property of Multiplication C. Distributive Property A. Distributive Property B. Commutative Property of Multiplication C. Associative Property of Multiplication
Answer:
A. Commutative Property of Multiplication
B. Distributive Property
C. Associative Property of Multiplication
Step-by-step explanation:
The reasons A, B and C are:
A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of MultiplicationThe equation is given as:
[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =20l}[/tex]
First, we apply the commutative property of multiplication.
So, we have:
[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =(4 \cdot 3)l + (4 \cdot 2)l }[/tex]
Next, apply the distributive property
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (3 + 2)l }[/tex]
Addition
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (5)l }[/tex]
By the associative property of multiplication, we have:
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot 5 \cdot l}[/tex]
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l = 20l}[/tex]
Hence, the reasons A, B and C are:
A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication
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Your coffee bar has two kinds of drink One cup of the first one costs 9 grams of juice , 4 grams of coffee and 3 grams of sugar The second one costs 4 grams of juice, 5 grams of coffee and 10 grams of sugar. The budget at most 3.6 kilograms of Julce, 2.0 kilograms of coffee and 3.0 kilograms of sugar every day. You get $1.2 if you sell one cup of the first kind of drink and $0.7 of the second one. aWhat is the maximal profit $ b) How many drinks should be sold to get a maximal profit ? Sales of the first one = cups Sales of the second one = cups
Answer:
How many drinks should be sold to get a maximal profit? 468
Sales of the first one = 345 cups
Sales of the second one = 123 cups
Step-by-step explanation:
maximize 1.2F + 0.7S
where:
F = first type of drink
S = second type of drink
constraints:
sugar ⇒ 3F + 10S ≤ 3000
juice ⇒ 9F + 4S ≤ 3600
coffee ⇒ 4F + 5S ≤ 2000
using solver the maximum profit is $500.10
and the optimal solution is 345F + 123S
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
The slope is Negative four-thirds, and the y-intercept is 3.
The slope is Negative four-thirds, and the y-intercept is 4.
The slope is Negative three-fourths, and the y-intercept is 3.
The slope is Negative three-fourths, and the y-intercept is 4.
Answer:
The answer is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLEASE HELP prove triangle ADB is congruent to triangle CDB (attached)
Answer:
as all the sides are parallel to each other.
Step-by-step explanation:
the small lines on each side of the kite shows that all sides are equal / parallel to each other.
For the given figure, triangle ADB is congruent to triangle CBD, by SSS postulate.
What is congruent geometry?In congruent geometry, the shapes are so identical that can be superimposed on themselves.
Consider triangle ADB and CDB,
AB = CB [given]
AD = CD {given}
BD = BD [common side]
So, triangle ADB ≅ triangle CDB, by SSS postulate.
Thus, triangle ADB ≅ triangle CDB
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An orchard has 672 apple trees. The number of rows exceeds the number of trees per row by 4. How many trees are there in each row?
Answer:
There will be 42 trees in each row.
Step-by-step explanation:
672 divided by 4 = 168 rows
168 rows divded by 4 = 42 trees in each row
Tumelo has R14600 today to deposit in his account .he has a goal of withdrawing this money at 28000 in 6 years .calculate the interest rate that he should invest his initial amount at,compounded quarterly
The interest rate that he should invest his initial amount compounded quarterly is 0.11001626264163722.
To calculate the interest rate that Tumelo should invest his initial amount at, compounded quarterly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the future value (goal amount) of R28000,
P is the initial amount of R14600,
r is the interest rate (to be determined),
n is the number of times the interest is compounded per year (quarterly compounding),
t is the number of years (6 years).
Plugging in the given values, the equation becomes:
28000 =[tex]14600(1 + r/4)^(^4^*^6^)[/tex]
To solve for r, we need to isolate it on one side of the equation. We can do this by dividing both sides by 14600 and then taking the 6th root of both sides:
[tex](28000 / 14600)^(^1^/^(^4^*^6^)^) = 1 + r/4[/tex]
Taking the 6th root of (28000 / 14600) and subtracting 1, we find:
r/4 = (28000 / 14600)^(1/(4*6)) - 1
Multiplying both sides by 4, we obtain:
r = 4 * [(28000 / 14600)^(1/(4*6)) - 1]
Therefore, r = 0.11001626264163722
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9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
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Last week 23 1/2% of all households watched a sporting event on television.
A ) 23/50 B) 235/100 C) 235/200 D) 235/1000
Answer:
D
Step-by-step explanation:
That as a decimal is 0.235, so its 235/1000
I hope this helped, please mark Brainliest, thank you!
For a pancake recipe, Ensley needs a teaspoon of cinnamon in order to
make 6 servings. If she wants to make 30 servings, how many teaspoons
cinnamon will she need? (Write your answer as a decimal... DO NOT
ROUND!)
Answer:
The answer is 5
Step-by-step explanation:
6 x _ = 30
How to find the blank? Divide. 6 / 30 = 5. B)
Math question angle measures
Answer:
angle 1 = 129 degrees
angle 2 = 51 degrees
angle 3 = 129 degrees
Step-by-step explanation:
since angle 2 and 4 are vertical angles, they will have the same value (51). I took angle 2 and 1, and since those angles lie on a straight line, they equal 180 degrees. so I subtracted 180-51, and got 129, giving you the measurement of angle 1 and 3, since 1 and 3 are vertical angles. remember that vertical angles are always equal :)
Step-by-step explanation: To start things off, let's find the m<2.
Notice that <4 and <2 are vertical angles since they share
a common endpoint and their sides form opposite rays.
Vertical angles are always congruent so we know that the m<4 = m<2.
Since the m<4 = 51, the m<2 must also be 51.
Now, notice that <1 and <2 form a straight angle
which always adds to 180 degrees.
So we have the equation 51 + x = 180.
Solving from here, we find that x = 129.
So the m<1 = 129.
Since <1 and <3 are again vertical, we know that m<3 = 129.
what trend does the data in the line graph show ?
Answer:
its going up 2002 up to 2004
Solve for h.
h + 1 = 10
h.
Submit
Answer:
h = 9
Step-by-step explanation:
h + 1 = 10
Subtract 1 from each side
h + 1-1 = 10-1
h = 9
338x4 estimate then find the product
Answer:
1360 340 x 4 = 1360
Step-by-step explanation:
please help with this one, geometry
9514 1404 393
Answer:
a) 40°
b) 70°
c) 35°
d) 105°
Step-by-step explanation:
a) x is half the given angle, so is ∠BAC/2 = 80°/2.
x = 40°
__
b) ∠ABC has a value that makes the angles in the triangle have a sum of 180°.
∠ABC +∠BAC +30° = 180°
∠ABC = 180° -30° -80°
∠ABC = 70°
__
c) y is half the measure of ∠ABC, so is 70°/2.
y = 35°
__
d) z has a value that makes the angles in its triangle have a sum of 180°.
x + y + z = 180
z = 180 -x -y = 180 -40 -35
z = 105°
Suppose it costs $2,500 to buy a defibrillator. Find the expected value of owning a defibrillator if there is a 4% probability that Johnson Club will lose a lawsuit regarding its operation, with each lawsuit resulting in Johnson Club being liable in the amount of $1,000,000.
Answer:
$37,500
Step-by-step explanation:
Expected value is the sum of the outcomes times their probability.
E(X) = (-2500) (1) + (1,000,000) (0.04)
E(X) = 37,500
Another way of calculating it:
E(X) = (-2500+0) (0.96) + (-2500+1,000,000) (0.04)
E(X) = 37,500
The table shows the greatest distance, in yards, that Bruce hit with six different clubs. State these distances in feet. The ratio of yards to feet is 1: 3.
Answer:
Yds Ft
99 -> 297
120 -> 369
144 -> 432
162 -> 486
174 -> 522
192 -> 576
Step-by-step explanation:
which one is larger 4/5 or 8/10
Answer:
neither
Step-by-step explanation:
they are equal 4/5 a simplfied version on 8/10
6. Factor 5x² +10x-15
(5x+3Xx−5)|
(x+5)5x+3)|
(5x–5)(x− 3)|
(x+3)(5x−5)|
The factored expression of 5x² + 10x - 15 is 5(x + 3)(x - 1) or (x + 3)(5x - 5)
How to determine the factored expressionfrom the question, we have the following parameters that can be used in our computation:
5x² + 10x - 15
Factor our 5
5(x² + 2x - 3)
When expanded, we have
5(x² + 3x - x - 3)
So, we have
5(x(x + 3) - 1(x + 3))
Factor out x - 1
5(x + 3)(x - 1)
Hence, the factors are 5(x + 3)(x - 1)
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find the two numbers.
X + 3x - 7 = 61
Answer:
x= 17
Step-by-step explanation:
combine like terms
4x-7=61
4x=68
x=17
The ordered pair (1,0) is a solution to the inequality y
Answer:
can u please be more specific i don't rlly understand.
The solution to the inequality is not ( 1 , 0 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = x³ - 4x² + 2
Now , when x = 1 and y = 0
0 = ( 1 )³ - 4 ( 1 )² + 2
0 = 1 - 4 + 2
0 ≠ -1
And , 0 > -1
Hence , the inequality is solved
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The complete question is attached below :
The ordered pair (1,0) is a solution to the inequality y = x³ - 4x² + 2
a) True
b) False
