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Ann [662]
3 years ago
11

Which value of a would make the expression 5 1/3 divided by 4/a equivalent to a whole number?

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0

9514 1404 393

Answer:

  a = any positive multiple of 3

Step-by-step explanation:

You want ...

  (5 1/3)/(4/a) = whole number

  (16/3)·(a/4) = whole number

  (4a/3) = whole number

This will be the case for a = 3n, for any positive integer n.

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Siobhan needs a $7,000 personal loan. Which loan option would require her to pay back the least amount of money?
Ivahew [28]

Answer:

18 month loan with a 13% annual simple interest rate

Step-by-step explanation:

4 0
3 years ago
1. Peyton has a credit card with an annual rate of 24.7% compounded monthly. She used the credit card to purchase cleaning suppl
enyata [817]

Answer:

Total interest = $3.41

Step-by-step explanation:

Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.

The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%

For the first month

With payment of $72 the remaining amount will be 189.56 - 72 = $117.56

Interest paid will be 0.02058 * 117.56 = $2.42

Total amount owed now will be 117.56 + 2.42 = $119.98

For the second month another payment of $72 is made

The remaining will be 119.98 - 72 = $47.98

Interest charged will be 0.02058 * 47.98 = $0.99

The amount owed will be 47.98 + 0.99 = $48.97

In the third month she will pay the remaining $47.98 which is within her monthly limit

Total interest paid = Sum of Amount paid each month - Initial amount spent

Total interest = {(72 * 2) +48.97} - 189.56 = $3.41

4 0
3 years ago
Evaluate the expression when x = –11. 2x – 19 <br> a. 41 <br> b. 3 <br> c. –3 <br> d. –41
WARRIOR [948]
2(-11)-19
-22-19
-41

D is the answer
5 0
3 years ago
PLSSSSSSSSSS HELPPPPPP MEEEEEEE, WILL RATE YOU BRAINLIEST!!!!!!!!!!!!!!
Artemon [7]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

Hope this helps:) plz mark brainiest i would really apperciate it
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5 0
3 years ago
Can someone plz answer number 3!! freshman geometry!!
GuDViN [60]
A- it’s a Pythagorean triple(6, 8, 10)
5 0
3 years ago
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