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Sever21 [200]
3 years ago
13

Shen borrowed $8000 at a rate of 12%, compounded semiannually. Assuming he makes no payments, how much will he owe after 7 years

?
Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

Answer:

$18,087.23

Step-by-step explanation:

The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:

FV=PV*(1+r/2)^n*2

FV is the worth of the loan in 7 years which is unknown

PV is the actual amount of loan which is $8,000

r is the rate of interest of 12%

n is the number of years of the loan which is 7 years

the 2 is to show that interest is computed twice a year

FV=8000*(1+12%/2)^7*2

FV=8000*(1+6%)^14

FV=8000*1.06^14=$18,087.23  

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An empty cubical carton is side 7cm. Can you fill 1000 cubes of side 1cm in it ?
Shalnov [3]
An empty cubical carton of side 7cm has the volume:
7 x 7 x 7 = 343cm³

A cube of side 1cm has the volume:
1 x 1 x 1 = 1cm³

From this, we can see that a 1000 cubes of side 1cm has the volume:
1000 x 1cm³ = 1000cm³

But we know that the cubical carton of side 7cm only has a volume of 343cm³.

Since 1000cm³ > 343cm³,
you cant fill 1000 cubes of side 1cm in such a carton.

TL;DR
No

Hope this helps
8 0
2 years ago
what is the point slope form of an equation with the slope of 3/5 that passes through the point (10,-2)?
Mama L [17]
Point slope form of a line:
y-y_1=m(x-x_1) where m is your slope and (x_1,\ y_1) is a point on your line.

For a line with a slope of 3/5 that passes through (10, -2)...
m=\frac35,\ x_1=10,\ y_1=-2
Let's plug these values into our formula.

y-(-2)=\frac35(x-10)

Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.

\boxed{y+2=\frac35(x-10)}

There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.
6 0
3 years ago
Which ordered pair is the solution to the system of equations? {x+3y=−12y=13x−6 (−5, −213) (−9, −9) (3, −5) (10, −223)
Sindrei [870]
I am not sure! What is the original equation?
7 0
3 years ago
5x+10=20<br> Another twist free points I have plenty to spare.
olasank [31]

Answer:

oui oui its x=2

Step-by-step explanation:

5x+10=20

5x=10

x=2

5 0
3 years ago
Read 2 more answers
Plz answer my question​
kogti [31]

Answer:

a its not straight and its negative

7 0
3 years ago
Read 2 more answers
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