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2 years ago

ind the present value that will grow to $4000 if the annual interest rate is 8.5% compounded quarterly for 9 yr.

Mathematics

1 answer:

frozen [14]2 years ago

4 0

Answer:

$1876.31

Step-by-step explanation:

The present value can be found using the compound interest formula.

<h3>Present value</h3>

The formula for the future value of an investment of P earning annual interest rate r compounded n times per year for t years is ...

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

Filling in the known values gives ...

4000 = P(1 +0.085/4)^(4·9) = P(1.02125^36)

Then the amount to be invested is ...

P = 4000/1.02125^36 ≈ 1876.31

The present value is $1876.31.

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2 years ago

I need help to find the measures and equation pls.

siniylev [52]

Answer:

Equation: 7x + 8x = 180

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Step-by-step explanation:

We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.

We know that the sums of two angles on a straight line are going to be equal to 180.

∠CBA = 7x

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2 years ago

X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.

Sunny_sXe [5.5K]

The values of x and y are 99 and 343

The HCF of numbers is the highest common factors of the numbers

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

$HCF = 21$

$LCM = 1617$

Multiply the HCF and the LCM

$HCF \times LCM = 21 \times 1617$

$HCF \times LCM = 33957$

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

$x \times y = 33957$

<h3>Prime Factors</h3>

Express 33957 as a prime factor

$x \times y = 3^2 \times 7^3 \times 11$

Rewrite the equation as

$x \times y = 99 \times 7^3$

$x \times y = 99 \times 343$

By comparison:

$x = 99$

$y= 343$

Hence, the values of x and y are 99 and 343

ind the present value that will grow to ​$4000 if the annual interest rate is ​8.5% compounded quarterly for 9 yr.

ind the present value that will grow to $4000 if the annual interest rate is 8.5% compounded quarterly for 9 yr.