Tyler and Daniel each deposited money into different banks with different savings plans. Tyler went to
Bank 1 and deposited $500. Daniel went to Bank 2 and deposited $1500. The graph above shows how
much money is in each savings account after 14 years. According to the graph, who will have more money
by year 20, and why?
Daniel, because his money is increasing exponentially.
O Daniel, because his money is increasing linearly.
O Tyler, because his money is increasing exponentially
Tyler, because his money is increasing linearly

Tyler And Daniel Each Deposited Money Into Different Banks With Different Savings Plans. Tyler Went ToBank

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Tyler, because his money is increasing exponentially.

I finished taking the test and got it right :)

Answer 2

The person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

What are exponential functions?

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

For example, [tex]y = a.b^x[/tex] , where a is a and b are constants is an exponential function.

How to calculate simple interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

Usually these two rates are used on money. The compound interest is exponential as it has power T as a variable, but for simple interest, there is no variable exponent.

Both are positive, and growth of exponential function is always going to surpass the growth of linear function (can be proven by derivatives).

Since we are not given the function's equation, we cannot correctly calculate the value just from graph, but as in 14 years, the blue line is already close to red line so it will likely cross it after 6 more years (thus total 20 years) because of good growth.

Thus, the person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

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Related Questions

Four boys shared an apple. The amount each boy ate is listed below. Joey ate 1 2 of the apple. Max ate 1 8 of the apple. Chris ate 1 8 of the apple. Kevin ate 1 8 of the apple. How much of the apple did they eat altogether?

Answers

7/8

Multiply the denominator and nominator by 4 to get 4/8 then add the 3/8 to get 7/8

A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?

Answers

9514 1404 393

Answer:

8 white shirts22 colored shirts

Step-by-step explanation:

Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...

  10.50c +9.95(c -14) = 310.60

  20.45c -139.30 = 310.60 . . . . . . simplify

  20.45c = 449.90 . . . . . . . . . . add 139.30

  c = 22 . . . . . . . . . . . . . . . . . divide by 20.45

  c-14 = 8

22 colored shirts and 8 white shirts were sold.

Find anequation of the line containing (3,-4) and having slope -2. If this line
contains the points (2,8) and (5.b), find a and b.​

Answers

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

In 2020, you purchase a car for $8000. The value of the car depreciates by 4% each year. What will the approximate value of the car be in 2027? *

Answers

Answer:

Step-by-step explanation:

Mr. Kramer bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Kramer get in all?

Answers

Answer: 29 lbs

Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.

The required pounds of cat food Mr. Kramer get in all is 9.

given that,

First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce

Thus, the required pounds of cat food Mr. Kramer gets in all is 9.

Learn more about arithmetic here:

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find the value of x ​

Answers

Answer:

x=6,1,5 is your answer look it once

what is 1+1 please help me?

Answers

Answer:

2

Step-by-step explanation:

Answer:

Window :D

Step-by-step explanation:

Okay but it's 2 I gotchu bro

PLEEEEASSEEEEE ITS URGENT
I NEED THE ANSWER RIGHT NOW!!!!
I BEEEG YOU GUUYYS!!!
PLEEEASEE ....
THANKS FOR THE HELP​

Answers

Answer:

Step-by-step explanation:

20 times pop. of Panama = 20×(4×10⁶) = 80×10⁶ = 8×10⁷

Population of Thailand = 7×10⁷ < 8×10⁷

pop of Thailand is less than 20 times pop of Panama.

Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the right amount of bounce when it is taken out of the packaging. They want their product to be ready for use upon opening. The air pressure of a particular ball has a target value of 7.9 PSI. Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI. When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI. Perform this hypothesis test at the 5% significance level using the critical value approach.

Answers

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 7.9[/tex]

The alternate hypothesis is:

[tex]H_{a}: \mu \neq 7.9[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The hypothesis tested means that [tex]\mu = 7.9[/tex]

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that [tex]\sigma = 0.2[/tex]

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that [tex]X = 7.3, n = 21[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}[/tex]

[tex]z = -13.74[/tex]

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

[tex]z = -13.74[/tex] has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.


If the circumference of a circle measures 3/2TT cm, what is the area of the circle in terms of TT?
A. 3/4 tt cm2
B. 9/2 tt cm2
C. 9/4 tt cm2
D. 9/16 tt cm2

Answers

Answer:

A = pi 9/16  cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

3/2 pi / 2 pi  = 2 pi r /2pi

3/4 cm = r

Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16  cm^2

Answer:

d) 9/16π cm²

Step-by-step explanation:

Circumference = 3/2π cm

diameter = 3/2 cm

radius = 3/2 ÷ 2 = 3/4 cm

area = π(3/4)² = 9/16 π cm²

Suppose you know that 10% of 250 is 25. How could you use
that information to find 30% of 250?

Answers

Answer:

triple the answer

Step-by-step explanation:

.1×250=25

.3×250= 75

25×3=75

The table below shows the different sizes of 15 pepperoni pizzas sold at a restaurant so far today.
Based on this table what is the probibilty that the next peperonni pizza prize sold will be 8 or more pieces

Answers

Answer:

2/3

Step-by-step explanation:

Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie​

Answers

So out of the 2 pies there would be 16 pieces

Answer:

there is 16 pieces

Step-by-step explanation:

Cody's Seafood House purchases
shrimp for $5.00 per pound. If the
shrimp is marked up 65% how much,
will guests pay for 2 pounds of
shrimp ?

Answers

Answer:

Try this

Step-by-step explanation:

So what you have to do is turn 65% into a decimal. 65% as a decimal is 0.65.

Then what you want to do is divide 5.00 and 0.65 and see what you get.

5×65%=3.25
3.25+5=8.25
8.25×2=16.5

Therefore, your answer is "The guests will pay $16.50 for 2 pounds of shrimp".

Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points)

Group of answer choices

8 more than half the difference of 2 and 1, and then subtract 6

Add 8 to half the difference of 6 and 2, then subtract 1

The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1

1 less than half of 6 plus the sum of 8 and 2

Answers

Answer:

B

Step-by-step explanation:

Add 8 to half the difference of 6 and 2, then subtract 1. Therefore, the option B is the correct answer.

What is PEDMAS rule?

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given expression is 8+ 1/2×(6-2)-1

= 8+1/2×4-1

= 8+2-1

= 10-1

= 9

Therefore, the option B is the correct answer.

Learn more about the PEDMAS rule here:

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Find the slope of the line that passes through (1, 11) and (9, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

i think it would be negative. -1/8

please help me pleassee​

Answers

it's a prism that is good question it's a prism ok a prism

Answer:

A prism.  A pyramid would look a little different, and flat too.

Hope that helps!

Step-by-step explanation:

Can someone help me? =)

Answers

The letters A,B and C

A number decreased by 90 is 22.

Answers

Answer:

112

Step-by-step explanation:

x - 90 = 22

add (solve for x)

x = 112

0.2 as a fraction (out of 100)

Answers

Answer =2/1000

Step-by-step-explanation

what is the value of y? ​

Answers

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

Approximately 32800 citizens of a country died in automobile accidents in 2015

Answers

Answer:

question is???

Step-by-step explanation:


Tennis practice last for 1 hour and 35 minutes

Answers

Answer:

Where's the rest of this question??

what fraction is bigger? 7/10, 1/5, 9/10

Answers

The correct answer is 9/10

pls answer any that you can!!!

Answers

Answer:

12, 45, 1.8, -9, 18

Step-by-step explanation:

up up down down left right left right  b a start

the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle

Answers

The correct answer s 60 it is correct trust me

I need help!
Can you help me please!

Answers

Answer:

Step-by-step explanation:

If you use the Puythagorean Theorem, you know that 3^2+3.75^2=X^2 (with X being the hypotenuse)

Then, you simplify and add. you should get 23.0625=X^2

After that you √ (square root) both of them and you get 4.80234318=X

What is 54.77 rounded to the nearest hundredth ?

Answers

It’s 54.77 it’s already rounded

help me plz with that ​

Answers

I’m really sorry but I can only narrow it down to economic and coercive. I’m leaning closer to coercive because it does seem more of a threat rather than a fact.

Thirty eight years ago George was 14. how old is he now

Answers

Lol I think it’s 38 I mean yeah right? It says thirty eight years ago which means he talking about the present

Answer:

I believe you need to add 38 and 14 together to get answer of 52 years old.

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