Simplify the expression <br><br> 12x^-6y^10X3x^7y

Alice wants to know how much she'll have to invest today to receive an annuity of $10,000 for six years if interest is earned at

spin [16.1K]

Annuity formula is given by:
FV=P[(1+r)^n-1]/r
FV=future value
r=rate
n=time
P=principle
Plugging the value from the question we obtain:
FV=10000[(1+0.07)^6-1]/0.07
FV=71,532.91
Thus the current value of the annuity is given by:
A=p(1+r)^n
plugging in the values we obtain and solving for p we get:
71532.91=p(1+0.07)^6
p=71532.91/(1.07)^6
p=$47665.40
Hence the answer:
B] $47665

8 0

3 years ago

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write a equation that is perduliclar to x-3y=3 and passes through the point (5-9).write it in equation slope intersept form

Anarel [89]

Answer:

The slope of the line is -7/8

When the point (7, –4) is used, the point-slope form of the line is

y+4=(-7/8)(x-7)

The slope-intercept form of the line is y=(-7/8)x+(17/8)

Step-by-step explanation:

Step-by-step explanation:

5 0

2 years ago

Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?

leva [86]

16 1/5 yards divided by 5 2/5 =3. He can make 3 costumes.

8 0

3 years ago

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A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost

Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that $x + y = 51$

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

$14x + 23y = 921$

How many of each kind of shirt were sold?

We have to solve the system of equations.

$x + y = 51$

$x = 51 - y$

--------------

$14x + 23y = 921$

$14(51 - y) + 23y = 921$

$714 - 14y + 23y = 921$

$9y = 207$

$y = \frac{207}{9}$

$y = 23$

--------

$x = 51 - y = 51 - 23 = 28$

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

7 0

3 years ago

You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid

ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 250, \sigma = 75$