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navik [9.2K]
3 years ago
8

A rectangular tank with a square base is 1/4 full of water the side lengths of the square bases 20 inches one another 3000 cubic

inches of the water is poured into the tank it becomes 2/3 full find the capacity of the tank
Mathematics
1 answer:
kvv77 [185]3 years ago
7 0
1/4 to 2/3

2/3-1/4=8/12-3/12=5/12
so the change is 5/12

the volume of the tank and dimentions are irrelivant for now

so

3000 cubic inches was added and that was a change of 5/12

5/12 of full=3000
times both sides by 12/5
full=7200

the capacity is 7200 cubic inches
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Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals
LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

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2 years ago
Consider the function below. Find f(5)
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Answer:

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Step-by-step explanation:

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3 years ago
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weqwewe [10]

Answer:

Step-by-step explanation:

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To simplify that expression you'll join like terms.

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5 0
3 years ago
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Find the values of x and y. State which theorem(s) you used.
Usimov [2.4K]

The required simplified value of x and y is 32 and 84 respectively.

Given that,
To find the values of x and y. State which theorem(s) you used.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Vertical opposite angles

3x = 5x - 64
2x = 64
x = 32

Now,

5x - 64 = 5*32 - 64
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            = 96°
Now complementary angle y
y = 180 - 96°

y = 84°


Thus, the required simplified value of x and y is 32 and 84 respectively.

Learn more about simplification here:
brainly.com/question/12501526

#SPJ1

5 0
1 year ago
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