Bob puts $500 into an account that pays 5% interestc ompounded anually. What is the balance after 5 years?
a
$525.25
b
$625.00
c
$526.72
d
$638.14
Answers
Answer:
b
Step-by-step explanation:
Related Questions
Evaluate the limit. 8n^+5n+2/3+2n
Answers
Answer: 16n + 7
Step-by-step explanation:
The limit of the expression can be achieved by differentiating the expression.
8n^2+5n+2/3+2n
Collect the likes term and rearrange
8n^2+7n+2/3
Differentiating with respect to n
(2×8)n^2-1 + 7n^(1-1)
16n + 7
2/3 automatically equal to zero since it has no variable n
Therefore, the limit of the expression is 16n + 7
The table below shows the results of Nesta's survey about favorite subjects.
Math 15
science 20
English 10
Social Studies 5
there are 400 students at Nesta's school. How many students would you predict prefer science.
Answers
Answer:
20
Step-by-step explanation:
I may not be correct so dont fully trust me but I did 400 / 20 and it was 20 soooo...
5+10+15+20=50
400/50=8
8*20=160
Liz's age is two-thirds of Debbie's age. Debbie's age is half of Freya's age. what is the ratio of Liz's age to Freya's age?
Answers
Answer:
Let's start by using variables to represent the ages of the three people:
Let L be Liz's age.
Let D be Debbie's age.
Let F be Freya's age.
From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:
L = (2/3)D
We also know that Debbie's age is half of Freya's age, so we can write:
D = (1/2)F
To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:
F = 2D
Now we can substitute this expression for F into the equation for Liz's age:
L = (2/3)D = (2/3)(1/2)F = (1/3)F
So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.
Please help!!!!
Which of the following represents a function???
Answers
Answer:
A
Step-by-step explanation:
A represents a funtion becasue none of the x (input) values are repeating.
Reasoning:
In B the x value of -1 is repeating
In C the x value of 3 is repeating
In D the x value of -1 is repeating
The graph given in the problem shows a function. The correct option is (D).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The given options are examined one by one as follows,
(A) The mapping of the sets can be written in the form of ordered pair as,
{(-4, 5), (9, 7), (13, 3),(-7, 5)}
Since, fortwo different values of domain there is only one value in the range, it does not represent a function.
(B) From the given table it is observed that y = 1 for x = -5 and x = -1.
Thus, it does not represent a function.
(C) The given ordered pair is {(0, 1), (3, 2),(-8, 3), (-7, 2), (3, 4)}
The second element 2 of the ordered pair is for two values of first elements.
Thus, it does not represent a function.
(D) The ordered pair for the given graph is as below,
{(-1, 1), (1, 4), (-3, -2), (-1, -5)}
Since no values of the range have two values in the domain, it represents a function.
Hence, the graph shown in the problem represents a function.
To know more about function click on,
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the 2 lines that make an X have a A above the middle and between the 2 lines on the right side says (4x-5) Degrees and on the left side between the lines says (x+16) degrees. Use the properties of vertical angles to find the value of x.
Responses
A 55
B 33
C 77
D 99
Question 2
What is the measure of ∠A?
Responses
A 159°159°
B 163°163°
C 161°161°
D 157°
Answers
Answer:
C 7
D 157°
Step-by-step explanation:
You want to know the value of x and the measure of angle A in the given figure.
Vertical anglesThe angles marked with x-expressions are vertical angles, so have the same measure.
(x +16)° = (4x -5)° . . . . . the angle measures are the same
21 = 3x . . . . . . . . . . . . divide by °, add 5-x to both sides
7 = x . . . . . . . . . . . . divide by 3
The value of x is 7.
Linear pairThe angles marked with x-expressions each form a linear pair with the angle marked A. That means they total 180°.
(x +16)° +A = 180°
A = 180° -23° = 157° . . . . . . . use x=7 and subtract 23
The measure of angle A is 157°.
PLZ ANSWER Selena picked eight baskets of tomatoes. Her sister threw away one of the baskets due to bruising. What percent were good?
Answers
Answer
12.5 percent was bad, 87.5 were good
Step-by-step explanation:
set up this percentage solver\(\frac{1}{8} *\frac{x}{100}\)
then cross multiply
\(8x=100\)
divide by eight
12.5 were bad
so 87.5 were good
HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answers
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
Which is the graph of y = RootIndex 3 StartRoot x EndRoot? On a coordinate plane, a cube root function goes through (negative 6, 2), has an inflection point at (2, 0), and goes through (10, negative 2). On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, negative 2), and goes through (8, negative 4). On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, 2), and goes through (8, 4). On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 2, 0), and goes through (6, 2).
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The diagram shows a box made from a cube with an additional cuboid attached. The area of the cuboid's end surface is 7cm².
The entire box has a volume of 140cm³. How long is each side of the cube?
Give your answer to one decimal place
Answers
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
Identify the constant of proportionality from the table.
X: 4, 5, 7, 9
Y: 32, 40, 56, 72
Answers
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Answer:
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Step-by-step explanation:
Math question someone pls explain how to answer it I am stuck pt.6
Answers
Answer:
1/5 or 20%
Step-by-step explanation:
Probability = favorable outcomes
total num. of outcomes
Probability = 2
10
Find the GCF, 2.
2 ÷ 2 = 1
10 ÷ 2 = 5
1/5
sorry if it's wrong
Answer:
The probability of choosing a green shirt is 20%=1/5=.2
Step-by-step explanation:
find the total amount = 10
Find the total of question (probability of choosing green) = 2
set as a fraction:
Numerator = amount needed (2)
Denominator = all things/objects involved (10)
PS*
With probability there is a good chance the answer is going to be less than 1 or 100%, knowing that can help to tell which number goes in what place of the fraction
ex:
10/2=5=500% (this can't be the answer)
So Flip it 2/10=.2=20% (This seems more of a reasonable answer)
HELP ME!!!! And put the correct answers this time please!!!!!!
Answers
B: .6
C:5.1
Comment if u want a better explaination
What is the ratio of 11 inches to 3 feet? (Change the feet to inches.)
Answers
11 : 36
12in (1 foot) × 3 =36 and put it into a ratio makes it 11 : 36
Answer:
11:36
Step-by-step explanation:
cause i took the quiz
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answers
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
how to solve 6r - 1 + 6r =11
Answers
Answer:
r = 1
Step-by-step explanation:
The equation is,
→ 6r - 1 + 6r = 11
Now the value of r will be,
→ 6r - 1 + 6r = 11
→ 12r = 11 + 1
→ r = 12/12
→ [ r = 1 ]
Hence, the value of r is 1.
Answer:
The answer is 1 r is equal to 1
Step-by-step explanation:
Which expression is equivalent to twice b plus the sum of 2 and b?
Answers
Write an equation to represent each situation. Then solve the equation.
1. Christian is saving money to buy a new bike that costs $189. He has saved $99 so far. He plans on saving $10 each week. In how many weeks will Christian have enough money to buy the new bike?
Answers
x=amount of weeks
x=9 weeks
189-99 =90 (take away the money he has saved already from the goal to see how much money he needs.
90 ÷ 10 = 9
How can I find the cube root of 64?
Answers
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
To know more about cube root:
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Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the grid looks like:
Answers
Answer:
8, 2, 8, 2
7, 3, 7, 3
6, 4 6, 4
9, 1, 9, 1
Step-by-step explanation:
In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.
So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.
Since there are 18 numbers, I'm assuming we don't have to use all of them.
Select all ratios equivalent to 1:2 A. 10:20 B. 12:24 C. 8:16
Answers
Answer:
A, B, ad C
In order to find the ratio of something you must:
Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.
Multiply each part of the original ratio by the value of each part calculated in step 2.
john and emily meet at a circle park. emily runs around the entire park. john runs from one edge to the other, straight through the middle. compare the distance traveled by emily and john. who ran further? by how much?. provide evidence and step by step .
Answers
emily ran the circumference
πd = the circumference
therefore emily ran further
Priya buys fruit from a market.
She buys 4 oranges, 3 apples, 2 bananas, and some pears.
If she spent £3.65, how many pears did she buy?
Oranges 45p each
Apples 30p each
Bananas 25p each
Pears 15p each
Answers
3 Apples = 90p
2 Bananas = 50p
= £3.20
£3.65 - £3.20 = 45p
45p / 15p = 3.
So the answer is 3 Pears
ILL GIVE BRAINLIEST AND 50 + 25 POINTS TO CORRECT ANSWER
x = a + b + 4
a ∝ \(y^{2}\), b ∝ \(\frac{1}{y}\) when x = 18, y = 2 and when x = -3, y = 1 then find x when y = 4.
In the end solve it with this equation, x = \(ky^{2}\) + \(\frac{m}{y}\) + 4
TYVM!!
Answers
Answer: x=ky2+m/y+4=15.8
Step-by-step explanation:
Please help asap! Tbh i just dont feel like doing it rn. Tysm!♡♡
Answers
Answer:15
Step-by-step explanation:
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 5/8 feet and Grace threw it 39 3/5 feet. How far did the team throw the javelin? Show your work.
PLZZZ HELP IM SO CONFUSED TY IN ADVANCE
Answers
Step by step explanation:
Pls, help me with this question!!!!
Answers
Answer:1,425
Step-by-step explanation:
0.17x444=75.48
0.17x377=75.48
75.48-64.9=11.39
ILL GIVE BRAINLIEST!
Please explain!! Thank you.
Answers
Answer:
A
Step-by-step explanation:
The answers are slope intercept which is the easiest form. y=mx+b (m=slope and b is intercept[where crosses y axis]) the slope of this graph is 2 and the intercept is -3 so the Slope-Intercept form is y=2x-3
Which is the correct answer
Answers
Answer:
The mode is equal to the minimum
Is the correct answer
Step-by-step explanation:
In this case,
Mean = (52+48+48+54+50)/5
Mean = 50.4
The Median = 50,(the middle value)
Mode = 48 (the value that appears most often)
Now, the minimum value(smallest value) of the data set is 48
so,
The mode is equal to the minimum
Answer: the mode is equal to the minimum
Step-by-step explanation: