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andrew-mc [135]
3 years ago
9

Need help with number 5. And 10. Please

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

I don't see anything

Step-by-step explanation:

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-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

7 0
2 years ago
How many kilograms of lentils will each person get if 3 people share 1/5 of a kilogram of lentils equally?
AysviL [449]

Answer:

1/15 of a kilogram

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da
nexus9112 [7]

Answer:

To find the mean you must add up all the numbers you have together and then divide the buy the amount of numbers you added. When you add these numbers up you get 30, and we have 5 numbers here, when we divide 30 by 5 we get 6. So, Tara is correct in saying that the mean is 6.

Step-by-step explanation:

7 0
3 years ago
According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its
Amanda [17]

Answer:

V(max) =  8712.07 in³

Dimensions:

x (side of the square base)  = 16.33 in

girth   = 65.32 in

height = 32.67 in

Step-by-step explanation:

Let

x  = side of the square base

h = the height of the postal

Then according to problem statement we have:

girth = 4*x     (perimeter of the base)

and

4* x  +  h  = 98  (at the most)   so   h = 98 - 4x  (1)

Then

V = x²*h

V = x²* ( 98 - 4x)

V(x) = 98*x² - 4x³

Taking dervatives (both menbers of the equation we have:

V´(x)  =  196 x   -  12 x²        ⇒   V´(x) = 0

196x - 12x²  = 0   first root of the equation  x = 0

Then   196 -12x = 0      12x = 196     x = 196/12

x = 16,33 in      ⇒    girth = 4 * (16.33)       ⇒ girth = 65.32 in

and from equation (1)

y = 98 - 4x       ⇒  y = 98 -4 (16,33)

y = 32.67 in

and maximun volume of a carton V is

V(max) = (16,33)²* 32,67

V(max) = 8712.07 in³

3 0
3 years ago
Compare the expressions. 40 -16 plus 10 ? -20 plus 18 plus 30
Harman [31]

We just need to do come computation:

40-16+10 = 40+(-16+10) = 40+(-6) = 40-6=34

-20+18+30 = -2+30 = 28

So, we have 34>28

8 0
3 years ago
Read 2 more answers
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