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mina [271]
2 years ago
9

What is the percent of change from 78 to 100

Mathematics
1 answer:
mojhsa [17]2 years ago
8 0
We have a positive change (increase) of 28.20512821 percent because the new value is greater than the old value.
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Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

A(t) = P(1 + \frac{r}{n})^{nt}

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0
2 years ago
The ratio of adults to children on a train in 7:2. There are 245 adults on the train. Find the total number of people on the tra
Kruka [31]

Answer:

315 people

Step-by-step explanation:

Using the given ratio, we can figure out the number of children on the train by doing cross multiplication.

Let x = # of children on train.

7/2 = 245/x

7x = 490

x = 70 children

The total number of people = 70 + 245 = 315 people total

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

5 0
3 years ago
Simplify 5 – 2y + (-8y) + 5.5.
zavuch27 [327]

Answer:

-10y + 10.5

Step-by-step explanation:

5 - 2y + (-8y) + 5.5

5 - 2y - 8y +5.5

-10y + 10.5

3 0
2 years ago
Read 2 more answers
URGENT I HAVE ALMOST 0 TIME LEFT I NEED LAST MINUTE HELP
jonny [76]

Answer:

The zeros are the points where the parabola intercepts the x-axis.

\sf x = 7 \implies x - 7 = 0

\sf x = 1 \implies x - 1 = 0

\sf \implies y = a(x - 7)(x - 1)  where a is some constant

If the parabola passes through point (3, 4) then:

\sf \implies a(3 - 7)(3 - 1) = 4

\sf \implies a(-4)(2) = 4

\sf \implies -8a = 4

\sf \implies a = -\dfrac12

So the equation of the parabola is:

\sf y = -\dfrac12(x - 7)(x - 1)

Or in standard form:

\sf y = -\dfrac12x^2+4x-\dfrac72

7 0
1 year ago
At 2pm two military convoys leave Eagle River Wisconsin one headed North and 1 headed South the convoy headed North averages 50
skelet666 [1.2K]

Answer:

The answer to the question is

1.5 hours that is;

When the distance between them is more then 135 miles is after 1.5 hours and they will lose radio contact at 3:30 p.m.

Step-by-step explanation:

We note that

The speed of the military convoy headed north =50 mph

The speed of the convoy headed south  = 40 mph

Let t be the time taken for the two convoys to be 135 miles apart

The time taken for the two convoys to be 135 miles apart is given by

50×t miles+ 40×t miles= 135 miles

That is 90×t miles = 135 miles

                  t = 135/90 = 1.5 hrs

3 0
3 years ago
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