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3 years ago

Factor the expression 36a^2 - 49b^2

Mathematics

1 answer:

blagie [28]3 years ago

6 0

Answer:a 2 − b 2 = ( a + b ) ( a − b ) where a = 6 a and b = 7 b . ( 6 a + 7 b ) ( 6 a − 7 b

Step-by-step explanation:

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A bank offers a money market account paying 8.7% interest compounded annually. A competing bank offers a money market account p

stich3 [128]

The answer is 8.5% interest compounded daily.

EXPLANATION

Regardless of your rate, the more often interest is paid, the more beneficial the effects of compound interest.

A daily interest account, which has 360 compounding periods a year, in this case, will generate more money than an account with an annual compounding, which has one compounding period per year.

5 0

3 years ago

The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including

anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$

= 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

$=\frac{10}{24}$

$=\frac{5}{12}$

c). The percent of the roof used as overhung is

$=\frac{4+4}{60}\times 100$

$=\frac{80}{6}$

= 13.33 %

8 0

2 years ago

What are 2 ways to solve the problem 9×1×5 = ?

aliina [53]

2ways you can solve that is by multiplying 9 by 1 then by 5 or 9by 5 then by 1

6 0

2 years ago

What is y-value when x equals -12? y =-200 - 6(x)

Arada [10]

Hi,

Solving:

$x = - 12 \\ y = - 200 - 6( x) \\ y = - 200 - 6( - 12) \\ y = - 200 + 72 = \underline{ \underline{ - 128}}$

Answer: y = -128

Hope this helps.
If you have any questions about the answer, comment below and I'll reply.
r3t40

7 1

3 years ago

Which term of the Ap: 3,8,13,18.......is 78?<br>

Alex Ar [27]

Answer:

$\bold{a_{16}=78}$

Step-by-step explanation:

$a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16$

4 0

3 years ago