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Paladinen [302]
2 years ago
10

Ernest borrowed $1000 from the bank. The interest rate is 30% and he borrowed it for 9 months. How much will he owe the bank?

Mathematics
1 answer:
Fudgin [204]2 years ago
5 0

The total amount Ernest owes the bank after 9 months is $1,225.00

How many months of interest would be paid?

The fact the loan was taken for nine months means that the borrower, Ernest needs to pay interest for nine months, in other words, we would time-apportion the annual interest of 30% to determine the 9-month interest as shown below:

9-month interest rate=30%*9/12

9-month interest rate=22.50%

The amount Ernest is owing the bank is the principal borrowed plus the interest for  9 months as computed below:

total amount owed after 9 months=$1000*(1+22.50%)

total amount owed after 9 months=$1000*1.2250

total amount owed after 9 months=$1,225.00

Find out more about borrowing on:brainly.com/question/28188613

#SPJ1

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Y=-4/5x+7 in general form<br> Please answer quickly! ;)
USPshnik [31]

Answer:

In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=0

y=%284%2F5%29%2A%280%29-7

y=0%2F5-7 Multiply

y=-35%2F5 Add

y=-7 Reduce

So here's one point (0,-7)

Now lets find another point

Plug in x=5

y=%284%2F5%29%2A%285%29-7

y=20%2F5-7 Multiply

y=-15%2F5 Add

y=-3 Reduce

So here's another point (5,-3). Add this to our graph

Now draw a line through these points

So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)

So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)

We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).

So we have one point (0,-7)

Step-by-step explanation:

8 0
3 years ago
Which of the following exponential functions goes thru points (1,6) and (2,12)
Alexandra [31]

Answer:

Noting that e^b = 6/a

Step-by-step explanation:

Use the general expo function y = ae^(bx).

Subbing 6 for y and 1 for x, we get  6 = ae^(b), or   e^b = 6/a.

Subbing 12 for y and 2 for x, we get   12 = ae^(2b), or 12/a = (e^b)²

Now let's find the value of the coefficient a.  Noting that e^b = 6/a, rewrite

12/a = (e^b)² as 12/a = (6/a)².

Dividing both sides by 6/a, we get 2 = 6/a, or a = 3.

Again Noting that e^b = 6/a, e^b = 6/3, or e^b = 2.

Taking the natural log of both sides, we get b = ln 2.

Then our y = ae^(bx) becomes:

                y = 3e^(ln 2·x), or   y = 3·2^x

Note:  next time, please share the answer choices.  Thank you.

7 0
3 years ago
1. Vincent spent 4/7 of his money on a pair of shoes. The shoes cost $48. How much money did he have at first?
ra1l [238]
4/7 of his money = $48

1/7 of his money = $48 ÷ 4 = $12

7/7 of his money = $12 x 7 = $84

Answer: $84
3 0
3 years ago
Tommy has up to $100 to spend on shoes. if each pair of shoes costs an average of $26, what are the possible numbers of pairs of
Arada [10]
100/26=3.85
The most he can buy is 3 pairs
3 0
3 years ago
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s
My name is Ann [436]
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39         /2
</span>⇒ 16x + 14y = 78

Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2


y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
3 0
3 years ago
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