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Mathematics

2 answers:

mixer [17]3 years ago

5 0

M1: 52 Degrees

M3: 52 Degrees

Natasha_Volkova [10]3 years ago

4 0

Answer:

m1 and m3 is 52 degrees

Step-by-step explanation:

so first you are given that 6 is 128 degrees and since angle 2 is the corresponding angles of angle 6 that means they are equal to each other. So since angle m1 and m2 are linear pairs you just need to substract 180-128 and then you'll get the answer for m1 which is 52. since m1 and m3 are vertical angles they are equal so they both have a angle measure of 52

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The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an

Svet_ta [14]

Answer:

The expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

$FV=PV[1+\frac{r}{100}]^{n}$

PV = Present value

r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

$FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}$