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Rzqust [24]
3 years ago
8

Your 6 1/4 year investment of $40,000 at 14% compounded quarterly is worth how much now?

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0
The formula to be used here is:

F = P(1+i)ⁿ
where 
P = 40000
n = 6 1/4 years

Let's find i first which has to be converted to compounded annually.

i = (1 + r/m)^m - 1
where m = 4 because there are 4 quarters in 1 yr; and r is the given 0.14.
i = (1 + 0.14/4)⁴ - 1 = 0.1475

Thus,
F = (40000)(1+0.1475)^(6 1/4)
<em>F = $94,517.96</em>
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The volume of a rectangular prism is 16.328 cm³. The height is 3.14 cm.
Ghella [55]

Answer:

The area of the base is = 5.2 cm²

Step-by-step explanation:

<em>First, we need to know the formula to calculate volume:</em>

volume=height XBase area

<em>if we change to our equations to the values we know:</em>

16.328 = 3.14XB

<em>Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:</em>

\frac{16.328}{3.14} =B

<em>We calculate the operation=</em>

\frac{16.328}{3.14} =5.2

<em>And the answer is 5.2 cm²</em>

<em>Let me know if you have any question :D</em>

5 0
3 years ago
Help asap worth 50 points<br> Use grouping symbols to make each equation true.<br> 16-4/2+3=9
ira [324]

Answer:

This question is only if 25 points. And you have typed 50 points.

Answer is 16-4-2-1

5 0
2 years ago
the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
2 years ago
Find the distance between the two points on the coordinate plane.
Jobisdone [24]

Answer:

10

Step-by-step explanation:

Assuming that each square is one unit, you plug it into the distance formula.

4 0
2 years ago
A rectangular prism has a volume of 160 cm. The height of the prism is 5 cm. The length is twice the width. What are the dimensi
Westkost [7]
The answer to your question is 8*5*4.
8*5=40                                                                                                                 
40*4=160                                                                                                               8 is twice of 4. the length is twice the width.
5 0
3 years ago
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