Phillip deposited $7,775 into a savings account 14 years ago. The account has an interest rate of 4.5% and the balance is currently $14,398.87. How often does the interest compound? (2 points) daily

monthly

quarterly

annually

annually

Step-by-step explanation:

Compound interest formula:

A = P(1 + r/n)^(nt)

amount of interest = balance - principal

Try daily:

A = 7775(1 + 0.045/365)^(365 * 14)

A = 14,597.88

This is too much money, so it was compounded less than daily.

Try monthly:

A = 7775(1 + 0.045/12)^(12 * 14)

A = 14,581.23

This is too much money, so it was compounded less than monthly.

Try quarterly:

A = 7775(1 + 0.045/4)^(4 * 14)

A = 14,547.16

This is too much money, so it was compounded less than quarterly.

Try annually:

A = 7775(1 + 0.045/1)^(1 * 14)

A = 14,398.87

This is the correct amount, so it was compounded annually.

annually

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)