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liubo4ka [24]
3 years ago
6

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual

rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Mathematics
1 answer:
stellarik [79]3 years ago
7 0

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Work:

A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43

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Solve the following proportion for V. 3/11=v/6 Round your answer to the nearest tenth.
GalinKa [24]

Answer:

I think the answer would be 0.2

Step-by-step explanation:

6 0
3 years ago
Sandy’s Sandwich Shop has both inside and outside seating for customers. Last month, the restaurant had 4,668 customers altogeth
valentinak56 [21]

Answer:

51348

Step-by-step explanation:

4,668 x 11

8 0
3 years ago
Read 2 more answers
) The correlation between a car’s engine size and its fuel economy (in mpg) is r= -0.774. What fraction of the variability in fu
Zolol [24]

The fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.

Given that, r= -0.774.

To solve such problems we must know about the fraction of the variability in data values or R-squared.

<h3>What fraction of the variability in fuel economy is accounted for by the engine size?</h3>

The fraction by which the variance of the dependent variable is greater than the variance of the errors is known as R-squared.

It is called so because it is the square of the correlation between the dependent and independent variables, which is commonly denoted by “r”  in a simple regression model.

Fraction of the variability in data values = (coefficient of correlation)²= r²

Now, the variability in fuel economy = r²= (-0.774)²

= 0.599076%= 59.91%

Hence, the fraction of the variability in fuel economy accounted for by the engine size is 59.91%.

To learn more about the fraction of the variability visit:

brainly.com/question/2516132.

#SPJ1

3 0
2 years ago
Help now. a storage tank in the shape of a cuboid of base 2.5 m by 2 m can hold up to 7500 litres of water. Calculate the height
Minchanka [31]

Answer:

Height of the tank is 1.5m

Step-by-step explanation:

Given

Shape: Cuboid

Base Dimension = 2.5m by 2m

Volume = 7500 litres

Required

Determine the height of the tank

First, the area of the base has to be calculated;

Area = 2.5m * 2m

Area = 5.0m^2

Next is to calculate the height using volume formula;

Volume = Area * Height

Recall that Volume = 7500L [Convert to m³]

1 L = 0.001m^3

So;

7500L = 7500 * 0.001m^3

7500L = 7.5m^3

Hence;

Volume = 7.5m^3

Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula

Volume = Area * Height

7.5m\³ = 5.0m\² * Height

Divide both sides by 5.0m²

\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}

\frac{7.5m\³}{5.0m\²} = Height

1.5m = Height

Height = 1.5m

<em>Hence, the height of the tank is 1.5m</em>

5 0
3 years ago
You are now a Bird Whisperer. Draw a picture of where the bird landed after we solved this problem? Make sure the bird is facing
pantera1 [17]
  • Answer Maybe: I got -7. Did it on the calculator. :)
5 0
3 years ago
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