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2 years ago

15

The length of a rectangle is 6 inches longer than it is wide. If the area is 40 square inches, what are the dimensions of the re

ctangle?

1 answer:

nadezda [96]2 years ago

3 0

Answer:

The length is 10 inches, and the width is 4 inches.

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What is X divided by 4+11 that is equal to or greater than eight

irina [24]

Answer:

greater than or equal to 120

Step-by-step explanation:

4+11=15

x is over 15

8*15=120

therefore x must be greater than or equal to 120

3 0

3 years ago

Read 2 more answers

HELP PLEASE!!! SHOW WORK!! A professional pianist spends an average of 45 hours practicing the piano in a three-week period. Usi

kicyunya [14]

Answer:

An average of about 450 hours; You could say something along the lines of "If the pianist who practices an average of 45 hours per week practices everyday for three months, they would play for approximately 450 hours total."

Step-by-step explanation:

We could write an equation to make it simpler to figure out, making the number of hours after three months = n, 4 = weeks in a month, 3 = the number of months, and 45 = the number of hours after a week. As an equation, it would look like:

45 * 3 * 4 = n

We know 3 *4 is 12, so the equation becomes 45 * 12 = n.

45 * 12 = 540, therefore the pianist practices an average of approximately 540 hours over a three-month period of time.

4 0

3 years ago

15-12 divided by 3=n

Alona [7]

Answer:

n=11

Step-by-step explanation:

Solve for n by simplifying both sides of the equation, then isolating the variable.

5 0

3 years ago

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

2 years ago

Need help with 15-17

Mekhanik [1.2K]

For 15 the answer is 8

for 16 the answer is 9

for 17 the answer is 1

4 0

2 years ago