-7 because when it’s +(-) it’s always the same as the outside sign
-4 same thing explained above
-4
hope this helps
<h3>Given</h3>
Future value of an investment at 4.75% compounded weekly is $25,000
<h3>Find</h3>
The present value of the investment, to the nearest dollar
<h3>Solution</h3>
The multiplier is (1 + .0475/52)^(52·5) ≈ 1.2679375, so the amount required is found from
... 1.2679375×present value = 25,000
... present value = 25,000/1.2679375 ≈ 19,717
$19,717 needs to be placed in the account now.
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When an annual interest rate r is compounded n times per year, the annual multiplier is (1 +r/n)^n. Here, we have n=52 (weeks per year). The multiplier is applied 5 times (raised to the 5th power) to obtain the result of a 5-year investment.
First we need to find what is the volume of the vase.
Volume of a cylinder we calculated by:
V = r^2*pi*h where r is radius and h is height.
V = 4^2 * 3.1415* 10
V = 502,64 inch^3
Now, since vase should be filled 3/4 of its volume, the volume of water that needs to be poured in is:
Vw = 3/4*V = 378 inch^3
Answer:
Sara's mother age : 40 years
Sara's age : 10 years
Step-by-step explanation:
Let Sara's mother age be x
and Sara age be y
Given , Sara's mother is now four time as old as Sara
• x = 4y ...1
also, in five years , she will be three times as old as Sara
In five years , Sara's mother age :- ( x + 5 )
Sara age :- ( y + 5 )
according to the question,
x + 5 = 3 ( y + 5 )
x + 5 = 3y + 15
x - 3y = 10 ... 2
putting value of x from 1 into 2
4y - 3y = 10
y = 10
putting y value in 1
x = 4y = 4 ( 10 ) = 40
So, Sara's mother age is 40years
and Sara's age is 10years .
Answer: 3000 meters
Step-by-step explanation: