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MA_775_DIABLO [31]
3 years ago
5

Your 3 year investment of 20,000 received 5.2% interest compound annually. What is your total return?

Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer:

Given:

Principal  (P) = $20,000 , interest rate compounded annually (r) = 5.2% = \frac{5.2}{100} = 0.052 ; n = 1 , t = 3 years.

Using formula :

A = P(1+\frac{r}{n})^{nt}

where

A is total return

P is the Principal ,

r is interest rate ,

n is the number of times interest is compounded per year

t is the time in year.

Substitute the given values we have;

A = 20,000(1+\frac{0.052}{1})^{1 \cdot 3}

A = 20000(1.052)^{3}

Simplify:

A = $23285.05216

Therefore, your total return is, $23285.05216

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A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
Please help pic below
kvasek [131]
Πr^2=area 9=r 9^2=81π=254.47
7 0
3 years ago
(True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function
const2013 [10]

Answer:

False

Step-by-step explanation:

The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).

(6, 4) 4 is one output.

(6, -4) -4 is another output.

6 0
3 years ago
What is another way to write 75 ? 7+7+7+7+7 5+5+5+5+5+5+5 7×7×7×7×7 5×5×5×5×5×5×5
kakasveta [241]
77-2 = 75 so that is another way :) yet, you can do 5*15 :)

Mark as brainliest pleases and thank you!
6 0
3 years ago
Read 2 more answers
4(−5z+2)+(−6) using distributive property
amid [387]

Answer:

Step-by-step explanation:

-20z+8+(-6)

-20z+2

7 0
3 years ago
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