Thomas rays parents begin saving to buy their son a car for his 16th birthday. they save $800 the first year and each year they save 5% more than the previous year. How much money will they have saved for his 16th birthday.

money they will have saved for his 16th birthday = $18,926

Step-by-step explanation:

This is a geometric series problem.

The sum of a geometric series is given by the formula;

Sn = a1•(rⁿ - 1)/(r - 1)

Where;

a1 is the first term

n is the number of terms

r is the constant ratio

Now, in this question, they started saving since he was born till his 16th birthday. That's 16 years. Thus number of terms; n = 16

Also, the first money saved was $800, thus the first term; a1 = 800

They save 5% more each year than the previous year. That's an increase of 1.05 each year. Thus, the common ratio; r = 1.05

The amount of money they will have by his 16th birthday will be;

S_16 = 800•(1.05^(16) - 1)/(1.05 - 1)

S_16 = 800(1.18287458838/0.05)

S_16 = $18,926

S16 = $800·(1.05^16 -1)/(1.05 -1)

yor answer is 7/6 times 5

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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