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3 years ago

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A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the

purchase price of the house?

1 answer:

kari74 [83]3 years ago

8 0

48,675£ because you have to times 64,900><0.75= 48,675

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If Ms. P wants to withdraw $900 from an account earning 4% average annual interest rate at the start of each year for 7 years, h

Ksju [112]

Answer:

Amount he must have in his account today is $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

here,

C = Regular withdraw amount

Thus,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

Present Value = $900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)$

Present Value = $936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]$

Present Value = $936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]$

Present Value = 936 × 6.00205

or

Present Value = $5,617.92

Hence,

Amount he must have in his account today is $5,617.92

7 0

3 years ago

Just help please, im the NOT smartest

olasank [31]

Answer: 3/7

The slope is the same.

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3 years ago

Read 2 more answers

You earn $50 per day for babysitting plus $0.75 per mile that she has to drive for an equation to represent the situation and de

tatuchka [14]

50 + (.75 x d)

D = distance traveled by in miles

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3 years ago

For what value of x is the function g(x)=x/1-x NOT defined?

VMariaS [17]

The function is definately defined at x=0 but not x=1.

But its just one part of the coordinate (x,y).

If the value of y or f(x) is considered, you'll see that it is never possible to attain f(x)=0. In other terms (x,y)= (0,0) is not a defined point in the graph of the function because the graph doesnt pass through that point.

Now I hope you understood what I meant!

Conclusion- The above function is not defined at all points in the space having the abscissa or x=1 in the coordinate and also at ordinate or y=0 in the coordinate.nation:

6 0

3 years ago

can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as

tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: $a*r^{n-1}$ . The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = $a*r^{n-1}$ , we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: $k * 0.75^{n-1}$ . This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. $n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft$

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is $\frac{a(1 - r^{n})}{1-r}$ , provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

$\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft$

6 0

3 years ago