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VikaD [51]
3 years ago
11

A bank loaned out ​$19000​, part of it at the rate of 6 % per year and the rest at 14 % per year. If the interest received in on

e year totaled ​$1500​, how much was loaned at 6 %
Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

$14500

Step-by-step explanation:

$x loaned at 6%

interest: x * 0.06

Rest loaned at 0.14%

interest: (19000 - x) * 0.14

0.06x + (19000 - x) * 0.14 = 1500

0.06x - 0.14x + 2660 = 1500

1160 = 0.08x

x = 1160/0.08 = 14500

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Through (4,-4) ; perpendicular to 6y=x-12
BARSIC [14]

y = mx + b

m = slope and b = y-intercept


We can arrange 6y = x - 12 in the form of y = mx + b

                  6y = x - 12

                    y = 1/6(x) - 2

Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.

Negative reciprocal of 1/6 is -6.

The equation for the perpendicular line is

                  y = -6x + b

To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

                -4 = -6(4) + b

                 b = -4 + 6(4)

                 b = -4 + 24

                 b = 20

So the equation for the perpendicular line is y = -6x + 20

3 0
3 years ago
Can u solve this for me: 72 + 4x = 2x + 82 and please show work
8_murik_8 [283]
The answer is X = 5 because first you have to take away 2x from that side so u minus 2x from 4x that gives u: 72 + 2x = 82 then you have to minus 72 from both sides and that gives you 2x = 10 once you have that you divide both sides by 2 because you want the X by itself and once you get that X = 5. Hope this helped!
8 0
3 years ago
Read 2 more answers
In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed liked
Oksi-84 [34.3K]
If you translate this problem literally, it is saying, “72 is what percent of 288?”. And the equational translation of that is 72 = (x/100) • 288
[ “is” means equal to (=) // “what” means x or another variable // “percent” means divided by 100” // “of” means multiplication. ]
Then you solve that equation.
(you can check it by googling what is 25% of 288. )

5 0
3 years ago
Find the population mean or sample mean as indicated. ​population: 44​, 22​, 1111​, 1717​, 2121
vlada-n [284]
The mean of the sample given by 44,22,11,17,21 will be given by:
\mu= \frac{\Sigma  x_i}{n}
the sum of x's will be:
44+22+11+17+21
=115
n=5
therefore the mean will be:
μ=115/5
=23 
4 0
3 years ago
Two angles across from each other at and intersection of two lines are called ?
Marina CMI [18]

Answer:

Vertical angles

Step-by-step explanation:

3 0
3 years ago
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