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kaheart [24]
3 years ago
6

10 points! Please Help! ASAP!!

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0
<span>A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left</span>
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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
a mountain climber needs to descend 1,500 feet. he wants to do it in 4 equal descents . has far should he travel in each descent
zloy xaker [14]

Answer:

375 each descent

Step-by-step explanation:

1500/4 = 375

4 0
3 years ago
Sarah is a cliff driver she starts 75 feet above the water dives and dives to 20 feet below the water jada also starts at 75 fee
Murljashka [212]

Answer:

sarah=55ft Jada=58ft

Step-by-step explanation:

7 0
3 years ago
What is the difference in Fahrenheit degrees between a temperature of 0C and a temperature of 15C?
slamgirl [31]

Answer:

27^{\circ}F

Step-by-step explanation:

Use formula

F=1.8C+32

to convert Celsius to Fahrenheit.

When C_1=0^{\circ}C, then

F_1=1.8\cdot 0+32\\ \\F_1=32^{\circ}F

When C_2=15^{\circ}C, then

F_2=1.8\cdot 15+32\\ \\F_2=27+32=59^{\circ}F

Difference:

F_2-F_1=59^{\circ}F-32^{\circ}F=27^{\circ}F

8 0
3 years ago
Someone please help me?
kow [346]
So hmmm recall the "inscribed angle theorem", notice the first picture

thus, check the second picture, recall, a flat line line AOD is 180° wide

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3 years ago
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