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I am Lyosha [343]
3 years ago
7

A $3,500 principal earns 3% annual interest, compounded semiannually (twice per year). After 20 years, what is the balance in th

e account?
a. $7,700.00 b. $4,713.99 c. $5,600.00 d. $6,349.06
Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0
How many semiannual periods are there in 20 years... 20×2 = 40

FW = PW(1+i)^N
FW = $3500(1+0.03)^40

solve for FW
(sorry no calculator on me)
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JulsSmile [24]

Answer:

-1/12

Step-by-step explanation:

change divide sign to multiply by reciprocating

7 0
2 years ago
When you run, your average step length is 42 inches. How many steps would you have to take to run 1 mile (5,280 feet)? Round to
bezimeni [28]
First convert 5,280 ft. into inches.
5280 \times 12 = 63360
5280 ft. equals 63360 inches.

Then you divide that by 42
63360 \div 42 = 1508.57
If you're rounding to the nearest step then it would take 1509 steps to run 1 mile.
6 0
3 years ago
Rewrite the equation by completing the square 4x^2-4x+1=0
oee [108]

Answer:

4(x - \frac{1}{2} )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² - 4x

= 4(x² - x) + 1 = 0

add/subtract ( half the coefficient of the x- term )² to x² - x

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4(x - \frac{1}{2} )² - 1 + 1 = 0

4(x - \frac{1}{2} )² = 0

8 0
3 years ago
Read 2 more answers
A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 inches per sec
s344n2d4d5 [400]

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

v=4/3 \pi r^3

v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3

Step two:

we know that

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rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds

4 0
2 years ago
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natima [27]

Answer:

y=2.5

Step-by-step explanation:

2y-6=-1

add 6 to negative 1 so that the 2y is all by itself

2y=5

divide 5 by 2

y=2.5

4 0
3 years ago
Read 2 more answers
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