MATHEMATICS HIGH SCHOOL

Cheyanne plans to put $150 into a savings account. she can place her money into an account represented by f(x)=5x+150, or into another account represented by g(x)=150(1.03)^x. which account has the highest value in 3 years? which account has the highest value in 10 years?1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years

3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years

4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Answers

Answer 1

Answer:

Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Step-by-step explanation:

Given:- Principal amount= $150

First account represented by the function= $f(x)=5x+150$ →Linear function

Second account represented by the function= $g(x)=150(1.03)^x$ →Exponential function

where x is the time period in years.

When x=3 years

$f(3)=5(3)+150=15+150=\$165$

$g(3)=150(1.03)^3=\$163.90$

here, f(x) has the highest value .

When x=10 years

$f(10)=5(10)+150=50+150=\$200$

$g(10)=150(1.03)^(10)=\$201.58$

g(x) has the highest value.

Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

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Simplify the expression:
(2f - 6)(-3)

Answers

Answer:

Simplify the expression.

−

6f+18

Step-by-step explanation:

2. What is the volume of the metal in this heavy-duty pipe? (It is not drawn to scale and the inside of the pipe is empty space.) Show all work and be sure to label your answer. Use 3.14 to estimate pi.

Answers

Volume of the outer cylinder = 3.14 x (1.5)² x 18 = 127.17 ft²

Volume of the inner cylinder = 3.14 x (1)² x 18 = 56.52 ft²

Volume of the pipe = 127.17 - 56.52 = 70.65 ft²

Answer: 70.65 ft²

Solve the inequality. 42 < –6d
A. d < –7
B. d < 36
C. d > –7
D. d < –48

Answers

42 < -6d

divide 6 by both sides,

7 < -d

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the diagonal of the rectangular solid with the given measures. (Part of the answer is provided for you.)
l = 18, w = 10, h = 2

Answers

I hope this helps you

For two weeks, Mario recorded the color of the traffic light at the intersection of Main Street and North Avenue as his bus approached the intersection. He created this frequency table. What data did he collect to create this frequency table? A. green, red, red, red, red, red, green, red, red, yellow
B. red, red, red, yellow, red, red, green, red, red, yellow
C.red, red, red, red, red, red, green, red, red, yellow
D.red, red, green, red, red, red, green, red, red, yellow

frequency table:
Red: 7
Green: 2
Yellow: 1
Total: 10

Answers

A. Because the data in the frequency table matches the data in A.

A because that's the only one with matching data.

Enter the plan width for the rectangular room. Round your answer to the nearest tenth.plan length:
4 in.
actual width:
18 ft
actual length: 16 ft

The plan width is
in.