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3 years ago

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in 15 years Pam hope to have $30,000to make a down payment on a house. how much would she need to invest right now in a mutual f

und that earns 8% annual interest in order to have enough for her down payment in 15 years

1 answer:

Goryan [66]3 years ago

5 0

Answer:

She needs to invest $13,636.36 right now

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

In 15 years, so $t = 15$

She wants to have $30,000, so $T = 30000$

8% interest, so $I = 0.08$

We have to find P.

$T = E + P$

$30000 = E + P$

$E = 30000 - P$

Replacing:

$E = P*I*t$

$30000 - P = P*0.08*15$

$30000 - P = 1.2P$

$2.2P = 30000$

$P = \frac{30000}{2.2}$

$P = 13636.36$

She needs to invest $13,636.36 right now

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vaieri [72.5K]

9514 1404 393

Answer:

c = 150p + 1000

Step-by-step explanation:

We know the variable cost is 150 per phone, so the total cost will be ...

c = 150p +b . . . . for some value b

We also know the value of c for 8 phones, so we can find b:

2200 = 150(8) + b

2200 -1200 = b = 1000

Then the desired equation is ...

c = 150p + 1000

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2 years ago

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

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3 years ago

One angle of an isosceles triangle measures 96 degrees. Which other angles could be in that isosceles triangle?

Fofino [41]

One angle of an isosceles triangle measures 96 degrees. Which other angles could be in that isosceles triangle?

Ans is 42
But not sure about it

8 0

3 years ago

The slope of the graph of y = x is<br> 0<br> 2<br> 1<br> Ο Ο<br> -2

sveticcg [70]

Answer:

I think the answer is 1.

If it is wrong sorry

7 0

2 years ago

1. if a = 16 and b= 12, find c

klasskru [66]

Answer:

20

Step-by-step explanation:

The pythagorean theorem states that

$a^2+b^2=c^2$

So $16^2 + 12^2 = c^2\\256+144 = c^2\\400 = c^2$

You would then do

$400 = c^2\\\sqrt{400} = c$

Because a square root is the opposite of a square.

$\sqrt{400} = 20$

because 20 * 20 = 400

7 0

3 years ago