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Oduvanchick [21]
4 years ago
13

The City Library ordered a new computer system costing $158,000; it will be delivered in 6 months. The full amount will be due 3

0 days after delivery. How much must be deposited today into an account paying 7.5% compounded monthly to have $158,000 in 7 months?
Mathematics
1 answer:
Nana76 [90]4 years ago
8 0

Answer:

$151,257.12

Step-by-step explanation:

7.5% is the annual interest rate, the monthly interest rate is:

r= \frac{0.075}{12} =0.00625

The amount (P) that must be deposited into an account at a rate 0.625% per month for 7 months in order to obtain $158,000 is given by:

158,000 = P*(1+0.00625)^7\\P=\$151,257.12

$151,257.12 must be deposited into the account today.

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T=2π√l/g. Make l subject of the formula​
Aliun [14]

Answer:

l = gt²/(2π)²

Step-by-step explanation:

if  T = 2π√l/g

squaring both sides

(T)² = (2π)² × (√l/g)²

T² =4π² × l/g

T² = 4π²l/g

using cross multiplication techniqes

gT² =  4π²l

divede both sides by " 4π²"

gT²/4π² =4π²l/4π²

gT²/4π² =l

l = gT²/(2π)²

that is the final answer.

4 0
3 years ago
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In ordered pair below, which value represents the output of a function? (1, 9)
kow [346]

Answer:

9

Step-by-step explanation:

In the notation of a function f(x) = x+8, for input x=1 the output would be 9. And (1,9) would be an (x,y) pair that fits the function.

4 0
3 years ago
For your parent's 25th wedding anniversary, you want to restore and enlarge their
erma4kov [3.2K]

Answer:

1/15

Step-by-step explanation:

Original length 3 in; New Length= 45

Original width 5 ;new width= 75

So 3/45

=5/75

=1/15

Hope it helps!

5 0
3 years ago
The graph of y = |2 is shifted to the left by 6 units.<br> What is the equation of the new graph?
Tasya [4]

Answer:

From your question, I am assuming you are talking about an absolute value graph. In this case the answer would be y = |2 + 6|

Step-by-step explanation: Always remember, when you are graphing absolute value graphs:

When you shift left or right, you put the amount you are shifting inside the absolute value sign.

When you are shifting up or down, you put the amount you are shifting outside the absolute value sign.

When shifting left on a graph, you usually think of subtraction. However, when dealing with absolute value graphs, when you are shifting left, you use addition, as you can see in this problem.

The same goes for right. You use subtraction when shifting right, contrary to what you may think.

However, when you go up, you still use addition, and when you shift down, you still use subtraction.

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4 years ago
I don't understand this. my teacher wasn't at school and this was homework​
blondinia [14]

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3 years ago
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