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3 years ago

Write a percent equation that can be used to solve the following problem. 25 is what percent of 350?

1 answer:

5 0

Here are all the answers to this worksheet... Happy Halloween!
1-C
2-B 
3-D 
4-A 
5-B 
100%

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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

Given: 4(9b - 10) = 6b - 5(-8b - 2) Prove: b = -5

Vika [28.1K]

Step-by-step explanation:

36b-40=6b+40b+10

36b-6b-40b=10+40

-10b=50

b=-50:10

b=-5

6 0

3 years ago

Write an equation to represent the following statement.

Scilla [17]

Answer:

J is 12

Step-by-step explanation:

6 0

3 years ago

If 2/3 = x/y, then which of the following must be true?

Kazeer [188]

Correct option is third $\frac{2+3}{3}=\frac{x+y}{y}$

<h3>Solution:</h3>

Given that:

$\frac{2}{3}=\frac{x}{y}$

Need to check which of the expression from given four expressions will be true.

Let's first try to eliminate wrong options.

If we observe carefully, we can say that option 2 that is $\frac{3}{2}=\frac{x}{y}$ is not correct as $\frac{x}{y}$ must be equal to $\frac{2}{3}$ and not $\frac{3}{2}$

Lets now modify given expression that is:

$\frac{2}{3}=\frac{x}{y}$

On adding 1 to both sides we get

$\frac{2}{3}+1=\frac{x}{y}+1$

$=>\frac{2+3}{3}=\frac{x+y}{y} \text { which is same as third option. }$

Hence correct option is third one that is $\frac{2+3}{3}=\frac{x+y}{y}$

6 0

3 years ago

On a map, 1/2 inch represents 10 actual miles. Two towns that are 4 1/2 inches apart on this map are how many actual miles apart

dusya [7]

The answer is E.90

1/2 inches = 10 miles
9(1/2) inches = 4 1/2 inches
9(10) miles = 90 miles

7 0

3 years ago