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mihalych1998 [28]
3 years ago
10

if the reserve rate is 3% and a bank receives a deposit of 16,000 how much of the 16,000 is the bank free to loan out?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

that means the bank keeps 3% and can loan out 97% of the total

 16000*0.97 = $15,520 can be loaned out

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What is the equation of a line that is perpendicular to y = 3 x − 2 and passes through the point ( 6 , 8 ) Was
Flauer [41]

Hello!

To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:

  1. Find the negative reciprocal using the slope of the given function
  2. Substitute the given ordered pair into the new equation with the slope found in step 1

Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.

In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.

To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.

Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.

y = -1/3x + b (6, 8)

8 = -1/3(6) + b

8 = -2 + b (add 2 to both sides)

10 = b

Therefore, the equation of the line is y = -1/3x + 10.

8 0
3 years ago
Write 7/10 as a sum of fractions two different ways.<br> Please do thank you
OLga [1]
1. 1/10+ 1/10+ 1/10+ 1/10+ 1/10+ 1/10+1/10 =7/10
2. 3/10+4/10=7/10
3. 2/10+2/10+2/10+1/10=7/10

8 0
4 years ago
What is 625 in exponential form
Anit [1.1K]
5 x 5 x 5 x 5 = 625,

3 0
4 years ago
Read 2 more answers
can someone please help and explain to me on how to do this geometry question please?! Thank youuuuu!!! ❤
qaws [65]
There are 13 angles.
We know that m\angle4=112 and m\angle12=105 (11 angles)

1.

m\angle2+m\angle3+m\angle4=180\qquad\qquad\text{linear angles}\\\\m\angle3+m\angle3+m\angle4=180\qquad\qquad m\angle2=m\angle3\\\\2m\angle3+m\angle4=180\\\\2m\angle3+112=180\\\\2m\angle3=180-112\\\\2m\angle3=68\quad|:2\\\\\boxed{m\angle3=34=m\angle2}

(9 angles)

2.

m\angle3+m\angle12+m\angle11=180\qquad\qquad\text{triangle}\\\\34+105+m\angle11=180\\\\139+m\angle11=180\\\\m\angle11=180-139\\\\\boxed{m\angle11=41}

(8 angles)

3.

m\angle12+m\angle13=180\qquad\qquad\text{linear angles}\\\\105+m\angle13=180\\\\m\angle13=180-105\\\\\boxed{m\angle 13=75}

(7 angles)

4.

m\angle1+m\angle2+m\angle13=180\qquad\qquad\text{triangle}\\\\m\angle1+34+75=180\\\\m\angle1+109=180\\\\m\angle1=180-109\\\\\boxed{m\angle1=71}

(6 angles)

5.

m\angle9=m\angle11\qquad\qquad\text{vertical angles}\\\\\boxed{m\angle9=41}

(5 angles)

6.

m\angle10+m\angle11=180\qquad\qquad\text{linear angles}\\\\m\angle10+41=180\\\\m\angle10=180-41\\\\\boxed{m\angle10=139}

(4 angles)

7. a||b\text{ and } c||d so we have a parallelogram.

m\angle4+m\angle5=180\qquad\text{consecutive angles are supplementary}\\\\112+m\angle5=180\\\\m\angle5=180-112\\\\\boxed{m\angle5=68}

(3 angles)

m\angle8=m\angle5\qquad\qquad\text{opposite angels are congruent}\\\\\boxed{m\angle8=68}

(2 angles)

8.

m\angle7+m\angle8+m\angle9=180\qquad\qquad\text{triangle}\\\\m\angle7+68+41=180\\\\m\angle7+109=180\\\\m\angle7=180-109\\\\\boxed{m\angle7=71}

(1 angle)

9.

m\angle1+m\angle5+m\angle6=180\qquad\qquad\text{triangle}\\\\71+68+m\angle6=180\\\\139+m\angle6=180\\\\m\angle6=180-139\\\\\boxed{m\angle6=41}

6 0
3 years ago
Jeremiah is saving money for a tutoring job after the first 3 weeks he saved 135$ assume the situation is proportional use the u
Vikentia [17]
135/3= 45

Equation: 45w=s

45(8)= 360

Jeremiah saved $360.

Hope this helps!
3 0
4 years ago
Read 2 more answers
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