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4 years ago

140ft is 97% of what?

1 answer:

6 0

$97$ % = $\frac{97}{100} = 0.97$
$\frac{140}{0.97}$
$=144.33 ft$

Answer: 144.33 ft

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia

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You plan to accumulate 100,000 at the end of 42 years by making the follow-

Mariana [72]

Answer:

Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

Ax = (24.129022X)(1.07^28) = 160.429967X

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

Now we can write the two equations in the two unknowns:

Ax +Ay = 100,000

X - Y = 100

From the latter, we have ...

X = Y +100

So the first equation becomes ...

160.429967(Y +100) +14.783599Y = 100000

175.213566Y +16,043.00 = 100,000

Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0

3 years ago

Which expression are differences of squares Select each correct answer

Gennadij [26K]

Answer:

options are 3 and 4

Step-by-step explanation:

The difference of squares is defined as In option 1,

It can be written as

It is the sum of squares, therefore the option 1 is incorrect.

In option 2,

The number 40 is not a complete square of any number, therefore option 2 is incorrect.

In option 3,

It can be rewritten as

It is the difference of squares, therefore option 3 is correct.

In option 4,

It can be rewritten as

It is the difference of squares, therefore option 4 is correct.

have a good Day!

4 0

3 years ago

The average speed of a car driving down freeway is 70mph with a standard deviation of 5mph. Thid speed is normally distributed.

ikadub [295]

Answer:

0.081,0.2621,0.645,0.919

Step-by-step explanation:

Let X be the average speed of a car driving down freeway

Given that X is normal with mean as 70mph with a standard deviation of 5mph.

To convert to Z score we do

$Z =\frac{x-70}{5}$

a) the probability that a randomly selected car is driving more than 77mph

$=P(X>77)\\=P(Z>1.4)\\=0.081$

b) probability that a randomly selected car is driving between 65 and 69 mph

= $P(-1$

c) the probability that a randonly selected car is driving between 67 and 77mph

= $P(-0.6$

d) the probability that a randomly selected car is driving less than 77mph

$=P(Z$

5 0

3 years ago

Divide 15 root 20 by 6 root 125

nata0808 [166]

Answer:

15√20/6√125

=√20/√5

Step-by-step explanation:

7 0

4 years ago

What is 10.5% of 28?

lozanna [386]

Answer:

The answer is 2.94

Step-by-step explanation:

10.5x28 divided by 100=2.94

3 0

3 years ago