Tim has been saving for a down payment on a car. He invested $4,000 in an account earning 2.5% interest compounded semi-annually. After 7 years, he is ready to buy his new car. How much does he have in his account for a down payment? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.

Step-by-step explanation:

The expression for compound interest is given as

A=P(1+r)^t

given data

P=$4,000

r=2.5%= 0.025

t=7years

The final amount can be solved as

A=4000(1+0.025)^7

A=4000(1.025)^7

A=4000*1.1886

A=4754.4

The amount on the account is $4754.4

draw lines center to vertex

43.5 square inches

261 square inches

Step-by-step explanation:

Part A:

The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.

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Part B:

The area of each triangle is given by the triangle area formula:

 A = (1/2)bh

 A = (1/2)(10 in)(8.7 in) = 43.5 in²

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Part C:

The area of the table top is 6 times the area of one triangle:

 surface area = 6(43.5 in²) = 261 in²

Step-by-step explanation: