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avanturin [10]
3 years ago
12

Can you PLEASE HELP ME I need al of the answers PLEASE

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
18 : A
19 : -14 (maybe)

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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

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

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
Zack is designing wheels for aconcept car. The diameter of the wheel is18 inches. Zack wants to make spokes inthe wheel that run
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Answer:

The spokes are 9 inches because the radius is half the diameter.

Comment if this is right.

Step-by-step explanation:

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you are given 2 supplementary angles.one has a measure of 4x and the other has a measure of 8x. what is x?
stich3 [128]

Answer:

x=15

Step-by-step explanation:

Supplementary angles are two angles that equal the sum of 180 degrees.

Take 4x and 8x and make it equal to 180

4x+8x=180

Add like terms:

12x=180

Divide:

x=15

To check:

Plug in 15 to both expressions

4(15)=60

8(15)=120

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6b.) Hence, or otherwise, evaluate g(f(3))
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Answer:

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g(f(3))= g(-5)

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