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2 years ago

12

samantha was training for a marathon each week she ran she increased her distance by 2km if she ran 5km the first week after how

many weeks will be able to run 15km?

1 answer:

sattari [20]2 years ago

8 0

Answer:

5 weeks

Step-by-step explanation:

x(number of weeks)

5+2x=15

2x=10

x=5

(verification)

5+2*5=15

15=15

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7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem, we ahve that:

$T = 38200, P = 7500, I = 0.075$

So

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

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3 years ago

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marissa [1.9K]

Download Socratic it'll do everything

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2 years ago

HELPPP<br><br> A. 9<br> B. 20<br> C. 16<br> D. 4

serious [3.7K]

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

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2 years ago

Find the volume of the following cylinder. (Use pi=3.14) V=\ cm.

Nana76 [90]

V = π r² h

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2 years ago

Evaluate the expression. [(3–5)(34)]3 1 Innermost group, apply the product of powers: [3–1]3 2 Apply the power of a power: 3–3 3

Otrada [13]

Answer:

x=27

Step-by-step explanation:

To evaluate the expression: $[(3^{-5})(3^4)]^3$

Step 1: Innermost group, apply the product of powers ( $a^x \times a^y =a^{x+y}$

Therefore:

$(3^{-5})(3^4)=3^{-5+4}=3^{-1}$

We then have:

$=[3^{-1}]^3$

Step 2: Apply the power of a power

$[3^{-1}]^3=3^{-1 \times 3} =3 ^{-3}$

Step 3: Apply the negative exponent

$3 ^{-3} =\dfrac{1}{3^3}$

Step 4: Simplify

$\dfrac{1}{3^3}=\dfrac{1}{27}$

Therefore, the value of x in the simplified expression is 27.

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3 years ago