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babymother [125]
2 years ago
7

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to

invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Mathematics
1 answer:
gogolik [260]2 years ago
3 0

Answer:

$5,155.7

Step-by-step explanation:

Using the compound interest formula;

Amount = 7600

Time = 7years

Rate = 5.7% = 0.057

Required

Principal

Substitute

A = P(1+r)^n

7600 = P(1+0.057)^7

7600 = P(1.057)^7

7600 = 1.4741P

P = 7600/1.4741

P = 5,155.69

Hence Lilian would need to invest $5,155.7 (to nearest ten dollars)

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A table of data is given.
julsineya [31]

The exponential equation will be y = 10 (0.1)ˣ.

<h3>What is an exponent?</h3>

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table of data is given.

x         f(x)

-2        128

-1          27

0          5

1            1

2         0.1

Then the equation will be

f(x) = abˣ

At x = 1, the value of f(x) is 1.

1 = ab ...1

At x = 2, the value of f(x) is 0.1.

0.1 = ab² ...2

Then from equations 1 and 2, we have

0.1 = b

Then the value of a will be

a = 1 / 0.1

a = 10

Then the exponential equation will be

y = 10 (0.1)ˣ

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

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2 years ago
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Delvig [45]

Answer:

27. C

28. D

Step-by-step explanation:

The average of all grades in his fencing class, including the upcoming one, (all grades summed up divided by the amount of grades) must be equal to 86 (percent), hence C is the right answer for 27.

Solving this equation gives:

\frac{75+88+62+100+x}{5} = 86\\325 + x = 86 \cdot 5\\x = 430 - 325 = 105

So D is the right answer for 28.

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3 years ago
Which value is NOT equivalent to the others <br>PLS HELP :(​
aivan3 [116]

Answer:

Its 3 on top of 4

3 0
2 years ago
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V125BC [204]

Answer:

The distance between the light and the actor's face is 29.24 ft

Step-by-step explanation:

In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Cos=\frac{adjacent}{hypotenuse}

Let's plug in our numbers and variable.

(Cos)70=\frac{10}{x}

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

x=\frac{10}{(cos)70}

Divide 10 by (cos)70.

<em>x = 29.24</em>

So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.

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