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Fed [463]
3 years ago
6

5. Ricky invested $1000 in an account at 8% interest compounded quarterly. How much money will he have earned on the account aft

er 7 years?
A. $1,741.02
B. $1,713.82
c. $713.82
D. $741.02
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

1,741.02

Step-by-step explanation:

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Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
nordsb [41]

Answer:

9

Explanation:

Hope it helps.. I got it right

4 0
3 years ago
Read 2 more answers
When reading a book, Charlie made a list by writing down the page number of the last page he finished reading at the end of each
Assoli18 [71]

Answer:

No. of pages he read by the end of the 8th day = 425

Step-by-step explanation:

Charlie started from page 1 and read the same number of pages each day. Suppose x is the number of pages he read each day, the last page he read on the first day would be:

<u>Last page for day 1 = 1 + x</u>

This would be the first number he noted on the list.

The second page number can be determined by adding the number of pages he read to the last page for day 1.

Last page for day 2 = 1 + x + x

                                 = 1 + 2x

Similarly, the last page he read on the third day is:

Last page for day 3 = 1 + 3x. Similarly,

Last page for day 4 = 1 + 4x

Last page for day 5 = 1 + 5x

Last page for day 6 = 1 + 6x

Last page for day 7 = 1 + 7x

Last page for day 8 = 1 + 8x

His Mom added all of the page numbers and got a total of 432. So,

432 = 1+x + 1+2x + 1+3x + 1+4x + 1+5x + 1+6x + 1+7x + 1+8x

432 = 8 + 8x

8x = 432-8

8x = 424

x = 424/8

x = 53

By the end of the 8th day he actually read 1 + 8x pages. Substituting the value of x in this expression, we get:

No. of pages he read by the end of the 8th day = 1 + 8(53)

                                                                               = 1 + 424

No. of pages he read by the end of the 8th day = 425

4 0
3 years ago
If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the
Bess [88]

Answer:

Step-by-step explanation:

The cost function = C(x)

The demand function = P(x)

C(x) = 11000 + 500x - 3.6x^2 + + 0.004x^3

P(x) = 1700 - 9x

Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

C'(x) is the marginal cost

Revenue = x. P(x)

R(x) = x( 1700 -9x)

= 1700x - 9x^2

Differentiate R(x) with respect to x

R'(x) = 1700 - 18x

R'(x) is the marginal revenue

Profit is maximized when R'(x) = C'(x)

1700 - 18x = 500 - 7.2x + 0.012x^2

Collect like terms

0 = 500 - 1700 - 7.2x +18x +0.012x^2

0 = -1200 + 10.8x +0.012x^2

0 = 0.012x^2 + 10.8x - 1200

Using x=( -b +_ √b^2 - 4ac) /2a

a = 0.012 , b= 10.8 , c= -1200

x= (-10.8 +_ √(10.8^2) - 4*0.012*(-1200)) /2*0.012

= ( -10.8 +_√116.64 + 57.6) / 0.024

= (-10.8 +_ √174.24) / 0.024

= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

5 0
3 years ago
Juan runs a total of 11,775 feet around a circular track, burning 12 calories each lap. The track’s diameter is 150 feet. How ma
kozerog [31]

Answer:

300 calories

Step-by-step explanation:

he burns 12 calories each lap so you need to know how many laps he ran

which means you need to find the circumference of the track, whose formula is 2πr; remember, radius is half the diameter.

C = 2π75

C = 150π

C ≈ 471

Now divide the total number of feet he ran (11,775) by the circumference to arrive at the number of laps.

11775 ÷ 471 = 25 laps

25 x 12 = 300 calories burned in total

4 0
3 years ago
Anyone help please? Thanks!
frutty [35]
which angle are you trying to find?
7 0
3 years ago
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