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Related Questions
Marissa has a savings account with $48 in it that earns 2% simple
interest per year.
How much money, to the nearest penny, will Marissa have in 7 years?
Give your answer in dollars.
Answers
Marissa will have $720 in 7 years when she has $48 in her saving account that earns 2% simple interest per year.
What is simple interest?Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of many forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.S.I. = P R T,where
P = Principal, R = Rate of Interest in% per annum, and T = Time periodThe interest rate is expressed as r/100 and is expressed as a percentage or r%.Principal: The principal is the sum that was first invested or borrowed from the bank. P stands for the principal.Rate: Rate is the interest rate at which the principal sum is granted to someone for a specific period of time; examples of rate interest are 5%, 10%, and 13%. R stands for the interest rate.Time: The amount of time that the principal is given to someone. T represents time.Amount: When a borrower repays a bank loan, the term "Amount" refers to the sum of the principal borrowed plus the interest paid.Amount = Principal + Simple Interest or A = P(1 + RT)Calculation
From, A = P(1 + RT)
where, p = $48
R = 2%
T= 7 years
A = 48(1 + 2*7)
A = $720
Hence, Marissa will have $720 in her bank account after 7 years.
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The amount $3.80 of 4% of what price?
Answers
3.80$ is 4% of 95$
calculate the distance between two points a(-9,-10) and b(0,-10)
Answers
Answer:
The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x2 - x1)2 + (y2 - y1)2. where (x 1, y 1) and (x 2, y 2) are the coordinates
Step-by-step explanation:
What is 8370dividedby62
Answers
7 times some number is 28. What is the number?
Equation:
Solution:
Answers
Answer:
4
Step-by-step explanation:
aint no way...this is literally 1st grade math...anyways
7(x)=28
divide both sides by 7
x=4
3/5 of a fruit punch is orange juice.
What percentage of the fruit punch is orange juice?
Answers
60% of the fruit punch is orange juice.
In this question, we have been given 3/5 of a fruit punch is orange juice.
We need to find the percentage of the fruit punch is orange juice.
3/5 of a fruit punch is orange juice, means 3 of 5 fruit punch is orange juice.
Using the percentage formula,
3/5 * 100
= 0.6 * 100
= 60%
Therefore, 60% of the fruit punch is orange juice.
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For the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.
As given in the question,
Ratio of orange juice in the given fruit juice = 3/5
From the given ratio it indicates out of 5 fruits 3 are orange
Percentage of fruit punch is orange juice in the given juice is equal to
= ( 3 / 5 ) × 100
= ( 3 × 100 ) / 5
= 300 / 5
= 60%
60% of the fruit punch is orange juice.
Therefore, for the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.
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there are 121 boys and 116 girls signed up for a trip to an amusement park the leader first makes groups of nine students each and then assigns any remaining students to make some groups of 10 students how many groups of 10 students will there be explained and how many groups of nine students will there be explained
Answers
By using addition, subtraction, multiplication and division of integers,
it can be calculated that
There are 3 groups of 9 and 21 groups of 10
What is addition, subtraction, multiplication and division of integers?
Addition of integers is used to find the sum total of two or more integers.
Subtraction of integers is used find the difference between two integers.
Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.
Division is the process in which the value of single unit can be calculated from the value of multiple unit
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
Here, addition, subtraction, multiplication and division of integers will be used
Total number of boys = 121
Total number of girls = 116
Total number of students = 121 + 116 = 237
Now,
The leader first makes groups of nine students each and then assigns any remaining students to make some groups of 10 students
So the group of 9 is to be made in such a way that on multiplying the number by 9, unit digit of 7 is obtained
So the number is 3 as 9 [tex]\times[/tex] 3 = 27
Remaining number of students = 237 - 21 = 210
They will enter into a group of 10
Number of group of 10 = 210[tex]\div[/tex] 10 = 21
There are 3 groups of 9 and 21 groups of 10
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A computer routine selects one of the integers 1, 2, 3, 4, 5 at random and replicates the process a total of 100 times. Let S denote the sum of the 100 numbers selected. Calculate the approximate probability that S assumes a value between 280 and 320 inclusive.
Answers
Probability that S assumes a value between 280 and 320 inclusive is 0.853.
S = Σ[tex]X_{i}[/tex] where [tex]X_{i}[/tex] has a uniform distribution on 1, 2, 3, 4, 5, with mean 3 and variance (25 – 1)/12 = 2 (result known, or calculated via E[[tex]X^{2}[/tex]] = 11, or from book of formulae, p10, with a = 1, b = 5, h = 1).
So S ~ N(300, 200) approximately.
P(280 ≤ S ≤ 320) = [tex]P(\frac{279.5-300}{\sqrt{200} } < Z < \frac{320.5-300}{\sqrt{200} })[/tex]
= [tex]P(-1.450 < Z < 1.450)[/tex]
= 0.853.
Hence, probability is 0.853.
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A client is to receive 1,800 mL of fluid during a 24-hour period. The client is to receive 3/4 of the fluid between 7 AM and 10 PM. Calculate how many mL the client will drink during that time
Answers
Answer:
1350 ml
Step-by-step explanation:
(1800 : 4) * 3
450 * 3
1350 ml
I’m stuck on this question I’ve tried this question so many times and I just don’t understand so I need help please
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
parallel line segments are indicated by arrows on the segments pointing in the same direction.
from the diagram EA and DC are parallel lines.
(b)
equal lines are indicated by a dash through the lines.
from the diagram AB and BC are equal.
(c)
perpendicular lines are at right angles (90° ) to each other, usually indicated by a small box between them.
from the diagram AE and CD are perpendicular to DE
Given f(x) = −2x^2 + 5, evaluate f(4)
Responses
Answers
The composition f(4) has a value of -27
How to evaluate the function composition?The definition of the functions is given as
f(x) = -2x^2 + 5
Rewrite the above function properly
So, we have the following representation
f(x) = -2x² + 5
To find the function f(4), we set the value of x in the equation f(x) = -2x² + 5
This is represented by
Calculate f(x), when x = 4
Substitute 4 for x in the equation f(x) = -2x² + 5
So, we have the following equation
f(4) = -2(4)² + 5
Evaluate the exponents
This gives
f(4) = -2 * 16 + 5
Evaluate the products
This gives
f(4) = -32 + 5
Evaluate the sum
f(4) = -27
Hence, the value of the function is -27
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accounts recivable of 88000 and accounts payable of 39000 and has revenues of 121000 and expenses of 83000 what is the companies net income
Answers
The required net income of the companies is given as 49,000.
Given that,
Accounts receivable of 88000 and accounts payable of 39000 and have revenues of 121000 and expenses of 83000 what is the company's net income is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total income = 88000 + 121000 = 209000
Total outflow = 39000 + 83000 = 122000
Net income = 209000 - 122000 = 49000
Thus, the required net income of the companies is given as 49,000.
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Evaluate (6x+3y)-z^(2)÷(2x) when x=-3,y=4,z=-6
Answers
24.
Step-by-step explanation:1. Write the expression.[tex](6x+3y)-\frac{z^{2}}{(2x)}[/tex]
2. Substitute the variables by the respective given value using parenthesis.[tex](6(3)+3(4))-\frac{(6)^{2}}{(2(3))}[/tex]
3. Simplify the expression by applying the hierarchy or mathematical operations.a) Solve parenthesis.
[tex](18+12)-\frac{(6)^{2}}{6}\\ \\30-\frac{(6)^{2}}{6}[/tex]
b) Solve the exponent.
[tex]30-\frac{36}{6}[/tex]
c) Divide.
[tex]30-6[/tex]
d) Subtract.
[tex]24.[/tex]
|y + 4| < 1
A. −5 < y < –3
B. –3 < y < 5
C. –4 < y < 1
D. 1 < y < 4
Answers
A solution to this inequality |y + 4| < 1 in as an interval is: A. −5 < y < –3.
What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than or equal to (≥).Less than or equal to (≤).Greater than (>).Less than (<).Adding -1 to both sides of the inequality, we have:
|y + 4| + (-1) < 1 + (-1)
|y + 4| - 1 < 0
Evaluating the absolute value function, we have the following:
y + 4 < ±1
For the positive interval, we have:
y < -4 + 1
y < -3
For the negative interval, we have:
y < -4 - 1
y < -5
Finally, we would express the solution to this inequality as an interval as follows:
-5 < y < -3.
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Complete Question:
What is a solution to this inequality |y + 4| < 1?
A. −5 < y < –3
B. –3 < y < 5
C. –4 < y < 1
D. 1 < y < 4
b) How many more squares need to be shaded so that 70% of the grid is shaded?
Answers
The percentage of shaded grid is 45% and the number of squares is 5.
How to find the percentage of shaded grid?a. Percentage of shaded grid
The total number of shaded and unshaded grid is 20 while the total number of shaded area is 9 now let find the percentage of the shaded grid.
Percentage of shaded grid = Shaded grid /Total grid
Percentage of shaded grid = 9/20 × 100
Percentage of shaded grid = 45%
b. Number of squares to be shaded
Number of squares = 20 grid × (70% - 45%)
Number of squares = 20 grid × 25%
Number of squares = 5 squares
Therefore the percentage is 45% .
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what is the rate of acceleration of a bycycle if it went from a complete stop to 15 meters per second in 5 seconds ILL MAKE U BRAINLIEST
Answers
The rate of acceleration of a bicycle. if it went from a complete stop to 15 meters per second in 5 seconds is
How to calculate the rate of accelerationacceleration is solved using the formula
a = (v - u) / t
definition of variables
final velocity = v
initial velocity = u
time taken = t
form the question we have that
v = 15 meters per seconds
u = 0 (bicycle went from complete stop)
t = 5 seconds
a = (15 - 0) / 5
a = 15 /5
a = 3 meters per seconds squared
The bicycle is travelling at an acceleration of 3 meters per seconds squared
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45 POINTS!!!!! WILL GOVE BRAINLYEST!!
Answers
Answer:
20 units
Step-by-step explanation:
we find the side lengths by looking at the coordinates and just counting up
Sides are 6,4,6,4
So we just add
6+4+6+4
10+10
20
Hopes this helps please mark brainliest
Answer: Your answer is 20 units, because the height is 6 units, and the length is 4 units, so we then multiply by 2 for both numbers, then add them together, having a sum of 20 units.
Hope that helps.
Please solve I do not understand it
Answers
The expression [tex](\frac{1}{4^{-3 } } )^{-2}[/tex] is less than 1.
The sign to change to make the expression greater than 1 is changing the sign of the exponential value which will make the new expression as
[tex](\frac{1}{4^{-3 } } )^{2}[/tex]
What is expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).
In other words, an algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.)
Therefore, let's simplify the expression to know if it's equals to 1, greater than 1 or less than 1.
[tex](\frac{1}{4^{-3 } } )^{-2}[/tex]
using law of indices,
[tex](\frac{1}{4^{-3 } } )^{-2}[/tex] = 1 × [tex](4^{-3} )^{2}[/tex]
4⁻⁶ = 1 / 4⁶ = 1 / 4096
Hence,
1 / 4096 = 0.00024414062
Therefore, the value is less than 1.
Let's change one sign to make the expression greater than 1.
Therefore, the expression will be [tex](\frac{1}{4^{-3 } } )^{2}[/tex]
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Write the expression in words 2x + 2
Answers
Answer:
two times x plus two
Step-by-step explanation:
Solve the system by back substitution.
- 2x - 4y - z- 3w = -5
-2y - 12z - 4w = - 16
5z +5w=10
4w =12
Answers
Answer:
y=8 x=-19.5
Step-by-step explanation:
Start from the bottom equation and work your way upSolve the fourth equation for w-5w=-15-5w/(-5)=-15/(-5)w = 3 Then use that value of w to plug into the third equation. Notice we're going backwards or up the chain of equations. After w is replaced, solve for zz+w = 2z+3 = 2z+3-3 = 2-3z = -1 Now use z = -1 and w = 3 to plug into the second equation. Solve for y-2y-12z-4w = -16-2y-12(-1)-4(3) = -16-2y+12-12 = -16-2y = -16-2y/(-2) = -16/(-2)y = 8
Use y = 8, z = -1, w = 3 to plug into the first equation. Solve for x:
2x+4y+z+3w=12x+4(8)+(-1)+3(3)=12x+32-1+9=12x+40=12x+40-40=1-402x=-392x/2=-39/2x = -39/2 The value of x as a fraction is x = -39/2The value of x in decimal form is x = -19.5
step by step explanation to-4x = -x + 3
Answers
The value of x is -1 for equation -4x = -x + 3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -4x = -x + 3
In the given equation minus four times of x equal to minus x plus three
x is the variable
Plus and minus are operators
-4x = -x + 3
Take the variables to one sides
Add +x on both sides
-4x+x=-x+x+3
-3x=3
Divide both sides by -3
x=-1
Hence, the value of x is -1 for equation -4x = -x + 3
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3/5 - 1/3 simplified
Answers
Answer:
4/15
Step-by-step explanation:
[tex]\frac{3}{5}=\frac{9}{15} \\ \\ \frac{1}{3}=\frac{5}{15} \\ \\ \frac{3}{5}-\frac{1}{3}=\frac{9}{15}-\frac{5}{15}=\frac{4}{15}[/tex]
Danielle cecils driver rating factor is 1.60 and her car is in age group d and insurance rating group d. She wants 100/300 bodily injury and $50000 property damage coverage a)anual base premium B) anual premmium
Answers
a. The annual base premium when Danielle cecils driver rating factor is 1.60 and her car is in age group is $709.
b. The annual premium is $1134.40
What is a premium?It should be noted that the annual premium simply refers to the amount of premium that's paid yearly by the entity. The insurance company has premium payment options for the clients.
The annual base premium will be:
= Liability premium + Collision premium + Comprehensive premium
= $383 + $240 + $86
= $709
The annual premium will be:
= Annual base premium × Driver rating factor
= $709 × 1.60
= $1134.40
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If A = (6,7,8,11) and B = {(7,6,7,9), list the elements of A U B.
Answers
The elements of AUB is {6, 7, 8, 9, 11} when A = {6,7,8,11} and B = {7,6,7,9}.
According to the question,
We have the following information:
A = {6,7,8,11} and B = {7,6,7,9}
Now, we know that the elements of AUB means that all the elements which are there in both sets but the elements are not supposed to be repeated.
(Please that AUB can also be found using Venn diagram and questions are asked where the question has to be solved by making Venn diagram and representing all the elements in it.)
So, we have the following expression:
AUB = {6,7,8,9,11}
(Now, note that numbers however repeated in sets are not repeated here.)
Hence, the elements of AUB is {6, 7, 8, 9, 11} when A = {6,7,8,11} and B = {7,6,7,9}.
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Determine the value of each expression. |-2-8|-|−5|
Answers
Answer:
5
Step-by-step explanation:
:)
Answer:5
Step-by-step explanation:|-10|-|-5|
10-5
5
i need the answers to these
Answers
Required values are to be put in blank space,
a. 99
b. 10
c. 5
after using logarithmic properties.
What is logarithm?The other technique to write exponents in mathematics is using logarithms. A numbers base based logarithms is equal to other number. A logarithm performs exponentiation's exact opposite function
For example:
If 10² = 100 then log₁₀¹⁰⁰ = 2.
Some logarithmic properties used are:
logₐˣ + logₐⁿ = logₐˣⁿ logₐˣ - logₐⁿ = logₐ[tex]^{x/n}[/tex] logₐ⁽ˣ⁾ⁿ = n logₐˣAll of the questions are based on simple logarithmic properties:
a. In this properties used are,
logₐˣ + logₐⁿ = logₐˣⁿ
log₅⁹ + log₅¹¹ = ?
comparing with general form, we get
log₅⁹ + log₅¹¹ = log₅⁹⁹
b. In this properties used are,
logₐˣ - logₐⁿ = logₐ[tex]^{x/n}[/tex]
? - log₉⁷ = log₉[tex]^{10/7}[/tex]
comparing with general form, we get
log₉¹⁰ - log₉⁷ = log₉[tex]^{10/7}[/tex]
c. In this properties used are,
logₐ⁽ˣ⁾ⁿ = n logₐˣ
log₂[tex]^{1/25}[/tex] = log₂⁽[tex]^{1/5}[/tex]⁾² = -2 log₂⁽⁵⁾
Comparing with general form, we get
log₂[tex]^{1/25}[/tex] = -2log₂⁵
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Classify the triangle by the side lengths and what the angle measures appear to be. Then find the perimeter and area of the triangle.
Answers
Answer:
Classification - Right Scalene
Perimeter - 30ft
Area - 30ft
Step-by-step explanation:
Classification - There's a right angle, and 3 unequal sides.
Perimeter - 5 + 13 + 12 = 30
Area = 5*12=60, 60/2 = 30
write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation (0,0) y=-3x+2
Answers
Perpendicular slope=1/3
Point slope form using perp. m and point
y-y1=m(x-x1)
y-0= 1/3(x-0)
Answer: y=1/3x
26³ +5=2(3)³ +5 7
please help me solve this lol
Answers
Answer:
(simplify 26³)
26³ = 17,576
= 17,576 + 5 = 3³+57
(simplify 3³)
3³ = 27
= 17,581 = 27+57
= 17,581 ≠ 84
Find the quotient and remainder using synthetic division for
x³ + 7x² + 12x + 5
x+2
The quotient is
Answers
The quotient will be x² + 5x + 2 and the remainder will be 1.
Synthetic division method is a method used to divide polynomials. It is used to divide polynomial with a linear factor whose leading coefficient is 1.
We will factorize x³ + 7x² + 12x + 5 by x + 2 using synthetic division method.
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