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saveliy_v [14]
3 years ago
14

Initial Knowledge Check

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

The volume of tank to the nearest cube is 503 ft³

Step-by-step explanation:

Given that,

Diameter of tank = 8 ft

radius = 4 ft

Height = 10 ft

We need to calculate the volume of tank

Using formula of volume

V= \pi r^2h

Where, r = radius

h = height

Put the value into the formula

V=\pi\times4^2\times10

V=502.6\ ft^{3}

V=503\ ft^{3}

Hence, The volume of tank to the nearest cube is 503 ft³

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Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per
dimaraw [331]

Answer:

The time required is of 17.53 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per year, compounded monthly.

This is t for which A(t) = 14000, considering P = 7000, r = 0.04, n = 12. So

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

14000 = 7000(1 + \frac{0.04}{12})^{12t}

(1.0033)^{12t} = 2

\log{(1.0033)^{12t}} = \log{2}

12t\log{1.0033} = \log{2}

t = \frac{\log{2}}{12\log{1.0033}}

t = 17.53

The time required is of 17.53 years.

5 0
3 years ago
If x = 0, then f(0) =
gladu [14]
0 it is 0 well i think cuz F is what is blank same with X so i think it is 0
3 0
4 years ago
30x4000 I will give brainlest to first person that answers without using calculator
sdas [7]

Answer:

The answer is 1200000.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the circumference of a circle with a radius of 4.4 centimeters? Enter your answer as a decimal in the box. Use 3.14 for
Wittaler [7]
The answer is 27.7 because you do 2 times 3.14 times the radius which is 4.4.

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3 years ago
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#26 What are the solutions to the equation 4x2 - 52x + 169 = 121?
Sloan [31]

Answer:

D. {1, 12}​

Step-by-step explanation:

4X^2-52x+169=121

The equation can be summarized thus:

4X^2-52x+169-121=0

4X^2-52x+48=0

divide the each number of the equation by 4

4X^2/4-52x/4+48/4=0

x^2-13x+12=0

we need to numbers that when we multiply them the result is 12 and -13 when we add together

-1 and -12(-1-12=-13 and -1*-12=12)

x^2-x-12x+12

x(x-1)-12(x-1)

(x-1)(x-12)

x-1=0 or x-12=0

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3 0
3 years ago
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