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3 years ago

Plz evaluate this equation

Mathematics

1 answer:

Arlecino [84]3 years ago

5 0

Top:

8^(-1/3)

= (2^3)^(-1/3)

= 2^(-1)

Bottom:

36^(-1/2)

=(6^2)^(-1/2)

=6^-1

2^-1 / 6^-1

= 6^1 / 2^1

= 6/2

= 3

Answer:

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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 $(n)log(1+\frac{r}{n})$

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

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3 years ago

Quadrilateral ABCD is inscribed in this circle<br><br> What is the measure of angle A?

Ede4ka [16]

Answer:

The four angles of a quadrilateral sum to 360 degrees.

If A and B are right angles then (2x+1) + 148 equal 180 degrees.

Therefore angle A = 32 degrees.

Step-by-step explanation:

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3 years ago

Seven hundred fifteen divided by eight

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Answer:

89.375 or 89.4 if rounded

Step-by-step explanation:

715 divided by 8 = 89.375

check this by doing 89.375 x 8

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It would be 1/6 or about 16.7%.

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All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as

V125BC [204]

The measure of the angle created by the car's turning is 105°

Step-by-step explanation:

Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.

We have to calculate the measure of the angle created by the car's turning.

Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.

Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image

Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.

AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees

Therefore, at B,

∠ABC + ∠CBD = 180°

Aldo given , ∠CBD = 75°

Thus, the measure of ∠ABC is ,

⇒ ∠ABC = 180° -∠CBD

⇒ ∠ABC = 180° - 75°

⇒ ∠ABC = 105°

Thus, the measure of the angle created by the car's turning is 105°

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3 years ago