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4 years ago

What is the approximate area of a circle with a radius of 13cm?

Mathematics

1 answer:

inna [77]4 years ago

5 0

Area of a circle=πr²
r=radius=13 cm
area of a circle=π(13 cm)²=169π cm²≈530.93 cm²≈530.7 cm²

Answer: B.530.7 cm²

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A credit union pays 5% annual interest, compounded daily, on savings deposits. Find the value after one year of $500 deposited i

8_murik_8 [283]

Step-by-step answer:

Given:

5% annual interest (APR)

compounded daily

Principal = 500

Solution:

Since it is compounded daily, we first calculate the

daily rate = 5% / 365 = 0.05/365

After one year,

future value

= 500 ( 1 + 0.05/365)^365

= 525.634 (to the tenth of a cent)

note: sometimes a year is considered to be rounded to 360 days, or 366 days for a leap year, but there is practically no difference in the results for this problem.

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3 years ago

An angle measures 23.4° more than the measure of its complementary angle. What is the measure of each angle?

kodGreya [7K]

Answer:

62°

Step-by-step explanation:

Complementary angles by definition are two or more angles that add up to 90°. So we must do 90°-62° to get the missing angle which is 62°.

Hope that helped.

8 0

3 years ago

5s + 2z = 1.32 <br> 3s + 1z = 0.75 <br> what would the answer be?

Sphinxa [80]

Answer:

Step-by-step explanation:

7 0

3 years ago

L Solve the following equation: 2 + 8x= 11x - 13.<br>

ad-work [718]

Answer:

x = 5

Step-by-step explanation:

Add 13-8x to both sides of the equation, then divide by the coefficient of x.

2 +8x +13 -8x = 11x -13 +13 -8x

15 = 3x . . . . simplified

5 = x

3 0

3 years ago

Read 2 more answers

-3x - 3y = 3, -5x + y =13<br> System of Equations

Nataliya [291]

Answer:

( $\frac{-7}{3}$ , $\frac{4}{3}$ )

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x= $\frac{-7}{3}$

now we need to find y

remember: y=5x+13

substitute $\frac{-7}{3}$ as x in y=5x+13

y=5( $\frac{-7}{3}$ )+13

multiply

y= $\frac{-35}{3}$ +13

add

y= $\frac{4}{3}$

So the answer is x= $\frac{-7}{3}$ , y= $\frac{4}{3}$ . As a point, it's ( $\frac{-7}{3}$ , $\frac{4}{3}$ )

Hope this helps! :)

4 0

3 years ago