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Juliette [100K]
3 years ago
8

castel invests $7178 in a savings account with monthly compounding. after 7 years, the balance reaches $12,543.00. What is the i

nterest rate of the account?
Mathematics
2 answers:
liq [111]3 years ago
7 0

Answer:

r = 129.1 %

Step-by-step explanation:

Using the compounding formula:

A = P (1 + r/t)^nt

$12, 543 = $7178 (1 + r/12)^12(7)

-7178

$5365 = (1 + r/12)^84

\sqrt[84]{5365} = \sqrt[84]{(1 +\frac{r}{12})^{84}}

1.107642572 = 1 + r/12

(0.108 = r/12) (12)

r = 1.2917 = 129.1 %

Maurinko [17]3 years ago
6 0
200...……………gggggggg ggggg gggg
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there are 2000 sheets of paper in 4 reams of paper.which of the following expresses the ratio of reams to paper?
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 -4:2000

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3 years ago
How many gallons of gas is in my tank?
weqwewe [10]

F(180) = x/30

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3 years ago
A blue container weighs 4 x 103
NemiM [27]

Answer:

208

Step-by-step explanation:

First let's find out what each container weighs..

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8 0
2 years ago
77. the volume of a cube is increasing at a rate of <img src="https://tex.z-dn.net/?f=10%20%5Cmathrm%7B~cm%7D%5E%7B3%7D%20%2F%20
Colt1911 [192]

Answer:

\displaystyle \frac{4}{3}\text{cm}^2/\text{min}

Step-by-step explanation:

<u>Given</u>

<u />\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}

<u>Solution</u>

(1) Find the rate of the cube's edge length with respect to time at s=30:

\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}

(2) Find the rate of the cube's surface area with respect to time at s=30:

\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of \displaystyle \frac{4}{3}\text{cm}^2/\text{min}.

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2 years ago
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Paladinen [302]

x220...............

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5 0
3 years ago
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