2 years ago

3. Which of the following is definitely greater than (-56897)? I) (-56897) + (-17) II) (-56897) × 17 III) (-56897) - (-17)

Mathematics

1 answer:

klemol [59]2 years ago

3 0

Since -56897 -(-17) = -56897 + 17 is less negative than
-56897

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Consider the figure in the diagram above. ABJK is a rectangle. There are two semicircles cut out of the rectangle. AB=8cm; AJ=18

RUDIKE [14]

First find the area of the rectangle, then remove the circular area.

AB * AJ = 8 * 18 = 144 sq cm

Circle = $\pi r^{2}$
= $\pi 4^{2}$
=3.14 * 16
=50.24 sq cm

144 - 50.24 = 93.76 sq cm shaded area.

3 0

3 years ago

Remove parentheses and simplify 7a+6b-4 (3a-3b)

Varvara68 [4.7K]

Normally, you would do whatever is inside of the parenthesees first then do the rest but we cant get any further so we remove the parenthasees by distrubtion

7a+6b-4(3a-3b)
-4(3a-3b)
a(b+c)=(ab)+(ac)
-4(3a-3b)=-12a-(-12b)

7a+6b-12a+12b
7a-12a+6b+12b
-5a+18b
that's the asnwer

7 0

2 years ago

$35,125 loan, a feat which took ten years of quarterly payments. The loan had an interest rate of 7.44%, compounded quarterly. I

Darya [45]

First find the amount of each payment:
$35,125 = P(\frac{(1+i)^{40} -1}{i (1+i)^{40}}) , i = \frac{.0744}{4} \\ \\ P = 1252.70$

The total cost will be 40 payments plus service charges.
$40*1252.70 + 5180.70 = 55,288.90$

The percentage is the service charge divided by total cost:
$X = \frac{5180.70}{ 55,288.90} = .0937 = 9.37\%$