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STALIN [3.7K]
3 years ago
8

a person invested $7400 in an account growing at a rate allowing the money to double every 13 years. how much money would be in

the account after 11 years, to the nearest dollar?
Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Answer:

$13,304

-We use the compound interest function to determine the rate of growth.

-Given that the amount doubles in 13 years, the annual growth  rate is calculated as:

We now substitute this value of i in the compound interest formula equation to solve for future value:

Hence, the future value to the nearest dollar is $13,304

*You can alternatively use the exponential growth function:

This is slightly off by just $1

Step-by-step explanation:

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hammer [34]

Answer:

58 feet

Step-by-step explanation:

2 inches per foot

29 inches = ? feet

29 x 2

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3 0
3 years ago
Read 2 more answers
10/27 x (3/8 divided by 5/24) =
pantera1 [17]

Answer: 1/864 =0.00116

Step-by-step explanation: simplify 3/8

divide 3/8 by 5= 3/40

3/40 divided by 24 =1/720

10/27 X 1/320= 1/864

simplify 10/27 and get 1/864 as a fraction but in a decimal 0.00116

 

4 0
3 years ago
Those are not the powers question from transformation of product and sum trigonometry
OlgaM077 [116]

Answer:

see explanation

Step-by-step explanation:

Using the sum to product identity

cosx + cosy = 2cos(\frac{x+y}{2} )cos( \frac{x-y}{2} )

Consider left side

(cos5A +cos3A) + (cos15A + cos7A)

= 2cos(\frac{5A+3A}{2} )cos(\frac{5A-3A}{2} ) + 2cos( \frac{15A+7A}{2}) cos( \frac{15A-7A}{2} )

= 2cos(\frac{8A}{2}) cos(\frac{2A}{2}) + 2cos(\frac{22A}{2} )cos(\frac{8A}{2} )

= 2cos4AcosA + 2cos11A cos4A ← factor out 2cos4A from both terms

= 2cos4A( cos11A + cosA) ← repeat the process

= 2cos4A( 2cos(\frac{11A+A}{2} )cos(\frac{11A-A}{2} )

= 2cos4A(2cos(\frac{12A}{2})cos(\frac{10A}{2} )

= 2cos4A(2cos6A cos5A)

= 4cos4Acos5Acos6A

= right side , thus verified

8 0
3 years ago
A motorcycle travels 230 miles on 4 gallons of gasoline.Find the average mileage per gallon
lesya [120]

Answer:

57.5

Step-by-step explanation:

its simple 230 divided by 4

4 0
3 years ago
Find the coordinates of the point on the directed segment from (3,2) to (6,8) that divides into a ratio of 1:3.
Ivan

Answer:

c. (3.75, 3.5)

Step-by-step explanation:

Let's call the given segment AB, and the dividing point P. Then you want AP:PB = 1:3.

There are a couple of ways you can get there.

1. Recognize that when you subtract the coordinates of A from P, the difference will be 1/4 of the result of subtracting A from B. That is, ...

P-A = (1/(1+3))·(B-A)

We can see that B-A = (6,8) -(3,2) = (3, 6), so 1/4 of that is (3/4, 3/2) = (0.75, 1.5). Adding these values to the coordinates of A gives ...

P = A + (.75, 1.5) = (3.75, 3.5)

__

2. Finish working out the equation above to solve for P:

4(P -A) = B -A

4P = B + 3A

P = (3A + B)/4 . . . . . note the multiplier for A is the relative length of PB and vice versa

P = (3(3, 2) +(6, 8))/4 = (15/4, 14/4) = (3.75, 3.5)

_____

Comment on choosing an answer

You only need to determine one of the coordinates in order to pick the correct answer. Finding both coordinates can help give you assurance that you have worked it out correctly.

8 0
3 years ago
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