Answer:
C
Step-by-step explanation:
Tyler, because his money is increasing exponentially.
I finished taking the test and got it right :)
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
Learn more about instantaneous rate of change here:
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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
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
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 ?
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.
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.
Answer:
i think it would be negative. -1/8
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?
Thirty eight years ago George was 14. how old is he now
Answer:
I believe you need to add 38 and 14 together to get answer of 52 years old.
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.
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
please help me pleassee
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:
what fraction is bigger? 7/10, 1/5, 9/10
What is 54.77 rounded to the nearest hundredth ?
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?
9514 1404 393
Answer:
8 white shirts22 colored shirtsStep-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.
A number decreased by 90 is 22.
Answer:
112
Step-by-step explanation:
x - 90 = 22
add (solve for x)
x = 112
I need help!
Can you help me please!
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
Suppose you know that 10% of 250 is 25. How could you use
that information to find 30% of 250?
Answer:
triple the answer
Step-by-step explanation:
.1×250=25
.3×250= 75
25×3=75
help me plz with that
Can someone help me? =)
Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie
So out of the 2 pies there would be 16 pieces
Answer:
there is 16 pieces
Step-by-step explanation:
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
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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pls answer any that you can!!!
Answer:
12, 45, 1.8, -9, 18
Step-by-step explanation:
up up down down left right left right b a start
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
Answer:
2/3
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?
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.
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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PLEEEEASSEEEEE ITS URGENT
I NEED THE ANSWER RIGHT NOW!!!!
I BEEEG YOU GUUYYS!!!
PLEEEASEE ....
THANKS FOR THE HELP
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.
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? *
Answer:
Step-by-step explanation:
Tennis practice last for 1 hour and 35 minutes
Answer:
Where's the rest of this question??
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.
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.
Approximately 32800 citizens of a country died in automobile accidents in 2015
Answer:
question is???
Step-by-step explanation:
what is 1+1 please help me?
Answer:
2
Step-by-step explanation:
Answer:
Window :D
Step-by-step explanation:
Okay but it's 2 I gotchu bro
0.2 as a fraction (out of 100)
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
find the value of x
Answer:
x=6,1,5 is your answer look it once
what is the value of y?
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