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3 years ago

Why...WHY..............

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer:

because I said so....that's why

svetlana [45]3 years ago

3 0

Answer:

BECAUSE TEACHERS WANT US TO SUFFER

Step-by-step explanation:

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How do you work out the rate, time and principal from the compound interest formula?

wlad13 [49]

Answer:

Part 1) $P=A/(1+\frac{r}{n})^{nt}$ (see the explanation)

Part 2) $r=n[\frac{A}{P}^{1/(nt)}-1]$ (see the explanation)

Part 3) $t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$ (see the explanation)

Step-by-step explanation:

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

Part 1) Find the Principal P

The values of A,r,n and t are given

Isolate the variable P

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

Divide both side by $(1+\frac{r}{n})^{nt}$

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

Part 2) Find the rate r

The values of A,P,n and t are given

Isolate the variable r

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

Divide both sides by P

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

Elevated both sides to 1/(nt)

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

subtract 1 both sides

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

Multiply by n both sides

$r=n[\frac{A}{P}^{1/(nt)}-1]$

Part 3) Find the time t

The values of A,P,r and n are given

Isolate the variable t

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

Divide both sides by P

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

Apply log both sides

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

Apply property of exponents

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

Divide both side by $(n)log(1+\frac{r}{n})$

$t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$

3 0

3 years ago

Simplify the following expressions. Write your answers as a power. Complete problems 1 through 6.

sertanlavr [38]

The expression is given to be:

$\frac{5^4\cdot5^2}{5^3}$

Recall the multiplication rule of exponent given to be:

$x^a\cdot x^b=x^{a+b}$

Therefore, we can simplify the numerator to be:

$5^4\cdot5^2=5^{4+2}=5^6$

Hence, the expression becomes:

$\Rightarrow\frac{5^6}{5^3}$

Recall the division rule of exponent given to be:

$\frac{x^a}{x^b}=x^{a-b}$

Therefore, the expression becomes:

$\frac{5^6}{5^3}=5^{6-3}=5^3$

Evaluating the answer, we have:

$5^3=125$

Therefore, the answer is:

$\frac{5^4\cdot5^2}{5^3}=125$

3 0

1 year ago

Of the 800 participants in a marathon, 120 are running to raise money for a cause. How

Nataly_w [17]

Answer: 15/100

also cheating on i ready diagnostic cause of corona is the way to go lol

5 0

3 years ago

Eight less a number is less than or equal to seventeen

mote1985 [20]

Answer:16

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

A survey showed that 72% of

deff fn [24]

Answer:

162

Step-by-step explanation:

225 x 0.72 = 162

6 0

3 years ago