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Paul [167]
2 years ago
12

Camryn puts $400 into a savings account that earns 6% annually. the amount in her account can

Mathematics
1 answer:
mylen [45]2 years ago
7 0

The exponential function that approximates the amount of money in her account using a weekly growth rate is:

c_w(t) = 400(1.001154)^{\frac{t}{52}}

<h3 />

What is an exponential function?

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal

In this problem, the yearly function is:

c(t) = 400(1.06)^t

Considering that a year has 52 weeks, we have that:

0.06/52 = 0.001154

Hence:

c_w(t) = 400(1.001154)^{\frac{t}{52}}

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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CAN SOMEONE PLEASEEEE ANSERR THISSSSSSSS THANK YOU SO VERY MUCH
Lapatulllka [165]
Pyth. theorem
\sqrt{20 { }^{2} - 8 {}^{2} }

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=18.3 (corr. to the nearest tenth)
6 0
3 years ago
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The sum of three consecutive integers is 267. What is the largest integer?
Stella [2.4K]

Answer:

let integers be x,2x, 3x respectively

x+2x+3x= 267

6x= 267

x=267/6= 44.5

2x= 44.5*2= 89

3x= 44.5*3= 133.5

largest integer = 133.5

hope it helps

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5 0
4 years ago
What us the ratio of 8 pennies and 20 dimes
inysia [295]
The ratio would be 8:20 or 8 to 20
7 0
4 years ago
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere. He
dezoksy [38]

Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.

In the question, we are given that a sphere and a cylinder have the same radius and height.

We assume the radius of the sphere to be r, and its height to be h.

Now, the height of a sphere is its diameter, which is twice the radius.

Thus, the height of the sphere, h = 2r

Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.

The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.

Thus, the volume of the given sphere using the formula is (4/3)πr³.

The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.

Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.

Now, to compare the two volumes we take their ratios, as

Volume of the sphere/Volume of the cylinder

= {(4/3)πr³}/{2πr³}

= 2/3.

Thus, the volume of the sphere/the volume of the cylinder = 2/3,

or, the volume of the sphere = (2/3)*the volume of the cylinder.

Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.

Thus, Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.

Learn more about volumes at

brainly.com/question/12398192

#SPJ4

For the complete question, refer to the attachment.

6 0
2 years ago
Which shows the correct solution to the inequality 7/10&gt; 1 5/8+p
Bogdan [553]

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:p

Step-by-step explanation:

\frac{7}{10}>1\frac{5}{8}+p

\frac{7}{10}>\frac{13}{8}+p

\frac{13}{8}+p

\frac{13}{8}+p-\frac{13}{8}

p

3 0
3 years ago
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