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Hunter-Best [27]
2 years ago
7

Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of

the original investment by 8% each year. In 15 years, Penny hopes to have $40,000 available to make a down payment on a house. How much would she need to invest right now in order to have enough for her down payment in 15 years?
Mathematics
1 answer:
dusya [7]2 years ago
3 0

Answer:

Penny would need to put in ~ $18,181.82

Step-by-step explanation:

Using the equation A = P(1+rt)

Where A = the total

P is equal to the starting amount

r is equal to the rate (percent)

and t is equal to the total time.

We can put in:

A = $40,000

r = 0.08 (8%)

t = 15

40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...

Round to the nearest whole cent

P = $18,181.82

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Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

8 0
2 years ago
Anna, Boris, and Clara thought of 1 number each Ana's number increased by 20 is 21 greater than boris's number decreased by 22.
sleet_krkn [62]

Answer:

Clara's number is 42 less than Anna's number

Step-by-step explanation:

We can start this problem out by setting our variables up:

A= Anna's number

B= Boris's number

C= Clara's number

so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:

- "Ana's number increased by 20"

A+20

- "boris's number decreased by 22"

B-22

- "21 greater than boris's number decreased by 22."

(B-22)+21

- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."

A+20=(B-22)+21

This is our first important equation here. Let's go with the second part of the problem:

- "Boris's number decreased by 20"

B-20

- "claras number increased by 22"

C+22

- "21 greater than claras number increased by 22"

(C+22)+21

Now the whole thing:

"Boris's number decreased by 20 is 21 greater than claras number increased by 22."

B-20=(C+22)+21

This is our second important equation.

So now we have the following system of equations:

A+20=(B-22)+21

B-20=(C+22)+21

We can now simplify the equations by combining like terms so we get:

Equation 1:

A+20=(B-22)+21

we can get rid of the parenthesis so we get:

A+20=B-22+21

We can subtract a 20 from both sides of the equation so we get:

A=B-22+21-20

We perform the subtractions so we get:

A=B-21

Equation 2:

B-20=(C+22)+21

We get rid of the parenthesis:

B-20=C+22+21

We add a 20 to both sides so we get:

B=C+22+21+20

We can now perform the additions so we get:

B=C+63

And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:

A=C+63-21

We combine like terms to get:

A=C+42

We can subtract 42 from both sides to get:

C=A-42

which reads:

Clara's number is 42 less than Anna's number.

3 0
3 years ago
Harold collected data on the daily high temperature in two cities over a period of one week.
Misha Larkins [42]

Answer:

Correct choices are 1 and 4

Step-by-step explanation:

As per data given we have:

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This gives us lowest temperatures of:

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And high temperatures are:

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<u>Answer choices based on above details:</u>

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  • Choice 3 - incorrect. Correct answer is 93° - 70° = 23°
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KengaRu [80]

Answer:

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base side of isosceles triangle

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6 0
2 years ago
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nignag [31]

Answer:

Step-by-step explanation:

discriminant=b²-4ac=8²-4(7)(2)=64-56=8

6 0
3 years ago
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