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3 years ago

When you need a fraction of a number like 1/3 of 9 how do you find out how much you need?

1 answer:

5 0

To find out how much you need when you need a fraction of a number like 1/3 of 9, you can multiply the whole number by the fraction in most cases.

In some cases however, you can convert the whole number into a fraction and then divide it to get the amount in fractional units that you require.

For example:

1/3 of 9

Convert 9 to a fraction.

1/3 / 9/1

1/3 x 9/1 = 3/9

Therefore you would need 3 of 9 for 1/3.

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Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h

kozerog [31]

The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

$PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)$

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

$50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\ \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\ \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\ \\ \therefore P= \frac{50,000}{81.770994} =\$611.46$

Therefore, her monthly payment is about $611.50
</span>

3 0

3 years ago

The measure of central angle xyz is radians. What is the area of the shaded sector? 32 85 96 256.

statuscvo [17]

If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units

The radius of the circle = 16 units

The central angle of the shaded region = 3π /4 radians

The area of the sector = (θ/ 360) × πr^2

Where θ is the central angle of the sector

r is the radius of the sector

Substitute the values in the equation

The area of the sector = ((3π /4) /360) × π × 16^2

Convert the radians to the degrees

= (135/360) × 256π

Multiply the terms

= 96π square units

Hence, the area of the shaded sector is 96π square units

The complete question is

The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?

Learn more about area of the sector here

brainly.com/question/7512468

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5 0

1 year ago

I need help with number 7 and 8 is number 7 right if so skip that and help me figure out how long it would take him to read 9 ch

mamaluj [8]

so 90 x 9 = 980 minutes so that is the answer

3 0

3 years ago

5sin²α+3cos²α / 3sin²α-5cos²α = <br> if tgα=√2

fiasKO [112]

Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)

sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)

cos(α) = adjacent/hypotenuse
= 1/sqrt(3)

now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math

8 0

3 years ago

Discuss how to convert 15 in. to yd. (need ko po nganon)

Aleksandr [31]

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

6 0

3 years ago