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2 years ago

Which point is on the graph of the equation y = -3x + 4?

Mathematics

1 answer:

Sati [7]2 years ago

5 0

Answer:

The points that fits the equation would be option D.

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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

Jared a beekeeper placed 120 hives in a apple orchard

Shtirlitz [24]

Answer: 20

Step-by-step explanation:

6 0

2 years ago

What is 184.24 to 4 significant figures

siniylev [52]

184.2 is the answer to 4 significant figure

4 0

2 years ago

What is the equal to 3^3.3^5 A. 3−2 B. 32 C. 38 D. 315

lora16 [44]

$3^3 \cdot 3^5 = 3^{3+5} = 3^8\\\\\boxed{\bf{C)~3^8}}\\\\\\a^b \cdot a^c = a^{b+c}$

3 0

2 years ago

If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?

Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

$\frac{12}{1} \times \frac{120}{100} = 14.4$

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

$14.4 = 80\% \\ x = 100\%$

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

$14.4 \times 100\% = 80\% \times x$

This is the same as saying;

$14.4 \times 1 = x \times \frac{4}{5}$

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30

4 0

1 year ago