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3 years ago

What is the answer to 5/8 times 72

Mathematics

2 answers:

kaheart [24]3 years ago

5 0

Answer:

Step-by-step explanation:

5/8 × 72

Divide 72 by 1 so you can multiply across

$\frac{5}{8} \times \frac{72}{1}$

360/8 = 45

Oksi-84 [34.3K]3 years ago

3 0

Answer:45

Step-by-step explanation:

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$

The power rule of natural logs says we can move that exponent down in front, giving us:

$ln(7.681818182)=t*ln(1.075)$

Divide both sides by ln(1.075) to get

$\frac{ln(7.61818182)}{ln(1.075)} =t$

Do this division on your calculator to get

t = 28.2 years

6 0

3 years ago

Read 2 more answers

Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

$a_1=-28(1)=-28$ .

The common ratio is

$r=-\frac{1}{2}$

The finite geometric sum is given by the formula,

$S_n=\frac{a_1(r^n-1)}{r-1} , -1\:$ .

Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

$S_9=-28(\frac{171}{256})$ .

$S_9=-\frac{1197}{64}$ .

$S_9=-18.703$ .

The correct answer is B

4 0

3 years ago

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Find the surface area of a cylinder the has a base radius of 2 feet and the height of 14 feet

Mashutka [201]

Answer: If I am correct the answer is 201.06ft²

please do correct me if i am wrong.

Step-by-step explanation:

A=2πrh+2πr2=2·π·2·14+2·π·22≈201.06193ft²

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2 years ago

Rewrite the expression. Use and exponent, rather than repeated multiplication (-4)(-4)

IrinaK [193]

-4²

Any number repeatedly multiplied by itself has an exponent. so (-4)(-4) has an exponent of 2 while (-4)(-4)(-4) would have an exponent of 3 and be written as -4³.

Also extra tip: Negative numbers multiplied by a negative number will always be positive.

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4 years ago

What is [2.1+(9.2x3.3)]x.8

Fofino [41]

26.388 is the correct answer

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3 years ago

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