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notka56 [123]
3 years ago
15

a piece of coal in a shape of a square pyramid has base edge pf 8.2 in on each side and with height of 5.3 in. What is the volum

e?
Mathematics
2 answers:
lozanna [386]3 years ago
4 0
Volume = 1/3a^2h

v= 1/3 x 8.2^2 x 5.3

v=118.79066666667 in^3
vredina [299]3 years ago
3 0
The volume is 43.46.
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If the cost of renting a house is given as C(x) = 25x + 350, where is the number of years. What is the total money paid in 4 yea
Nastasia [14]

Answer:

450

Step-by-step explanation:

plug 4 into x

25(4) + 350

5 0
3 years ago
The Taylors have purchased a $320,000 house. They made an initial down payment of $20,000 and secured a mortgage with interest c
gogolik [260]
Part A: monthly payment

Initial loan after downpayment,  
P = 320000-20000= 300,000

Interest rate per month, 
i = 0.06/12= 0.005

Number of periods, 
n = 30*12= 360

Monthly payment, 
A = P*(i*(1+i)^n)/((1+i)^n-1)
= 300000(0.005(1.005)^360)/(1.005^360-1)
= 1798.65


Part B: Equities
Equity after y years
E(y) = what they have paid after deduction of interest
= Future value of monthly payments - cumulated interest of net loan
= A((1+i)^y-1)/i - P((1+i)^y-1)
= 1798.65(1.005^y-1)/.005 - 300000(1.005^y-1)
= (1798.65/.005-300000)(1.005^y-1)

Equity E
for y = 5 years = 60 months
    E(60) = (1798.65/.005-300000)(1.005^60-1) = 18846.17
for y = 10 years = 120 months
    E(120) = (1798.65/.005-300000)(1.005^120-1) = 45036.91
y = 20 years = 240 months
    E(240) = (1798.65/.005-300000)(1.005^240-1) = 132016.53

Check: equity after 30 years
y = 30 years = 360 months
    E(360) = (1798.65/.005-300000)(1.005^360-1) = 300000.00  .... correct.
3 0
3 years ago
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What is 5 and 1 third divided 1 third?
Brums [2.3K]
The answer to this is sixteen ( 16)
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3 years ago
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Shkiper50 [21]

We have been given two inequalities 2x+9 and x>-12. We are asked to find the integers that satisfy both inequalities.

Let us solve for our 1st inequality.

2x+9-9

2x

\frac{2x}{2}

x

Upon combining our both inequalities, we will get:

-12

This means that solution of our inequalities is x values greater than -12 and less than -4.5.

We know that integers between -12 and -4.5 are: -11,-10,-9,-8,7,-6,-5.

Therefore, our solution would be x=\{-11,-10,-9,-8,7,-6,-5\}.

6 0
3 years ago
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A bottle of orange juice has 750 mg of vitamin C and has 6 servings. A bottle of cranberry juice contains 135 mg of vitamin C an
Mama L [17]

Answer:885

Step-by-step explanation:750 MG in orange juice and 135 MG in cranberry both added =885 MG in one serving

3 0
2 years ago
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