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Degger [83]
3 years ago
13

The function below represents the interest Larissa earns on an investment. Identify the term that represents the amount of money

originally invested.
f(x) = 7,000(1 + 0.03)x

1
7,000
0.03
1.03
Mathematics
2 answers:
Ahat [919]3 years ago
7 0

Answer:

Option b

Step-by-step explanation:

Sergio039 [100]3 years ago
6 0

Option b: 7000

Explanation:

The function that Larissa earns on an investment is

f(x)=7000(1+0.03)^{x}

The amount of money originally invested by Larissa can be found using the compound interest formula,

f(x)=p(1+r)^{x}

where

P is the amount of money invested. (Principal)

r is the rate of interest which can be expressed as decimals.

x is the number of periods.

Hence, comparing f(x)=7000(1+0.03)^{x} with the formula f(x)=p(1+r)^{x}, the principal amount can be determined.

Thus, the principal amount is 7000.

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Solve for x. <br><br> x + 3x + 5 =21
timurjin [86]

Answer:

x=4

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the equation.

x+3x+5=21

First, combine like terms. x and 3x are both terms with variables, and can be combined.

(x+3x) + 5=21

4x + 5=21

5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

4x+5-5= 21-5

4x= 16

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4=16/4

x= 16/4

x=4

Let's check our solution. Plug 4 in for x and solve.

x+3x+5=21

4+3(4)+5=21

4+12+5=21

16+5=21

21=21

This solution checks out, so we know our answer is correct.

x is equal to 4, x=4.

4 0
3 years ago
Read 2 more answers
QUICK!!!!! Which question is best modeled with a division expression?
hjlf

Answer:

D

Step-by-step explanation:

\frac{2}{3.5}

Which is about .57

7 0
3 years ago
A Lights-A-Lot quality inspector examines a sample of 25 strings of lights and finds that 6 are defective. What is the experimen
finlep [7]

Answer:

A 0.24 probability that one string is defective

Step-by-step explanation:

The sample probabiity:

P=\frac{6}{25}

P=0.24

If important to notice that this probability is from the sample, it can be extrapolated to the population but may not be the same.

5 0
3 years ago
Read 2 more answers
Find the scale factor of the similar shapes below.
timofeeve [1]

Answer:

x=12 and the scale factor is 1.5

Step-by-step explanation:

From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa.  It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.

5 0
3 years ago
What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.
beks73 [17]
To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:

{17, 23, 30, 40, 44, 44}

Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.

What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:

30+40=70

\frac{70}{2}=35

So now we know that the median of the set of data is 35.
8 0
3 years ago
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