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anastassius [24]
3 years ago
6

A 5000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for

the year is $170, how much is invested in each account
Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

2600 into the account earning 1% interest

2400 into the account earning 6% interest

Step-by-step explanation:

let x= account earning 1% interest

y= account earning 6% interest

we can write

x+y=5000   (equation 1)

.01x+.06y=170   (equation 2)

mulitply equation 1 by .01

.01x+.01y=50

subtract this from equation 2

(.01x+.06y)-(.01x+.01y)= 170-50

.05y= 120

y= 2400

Plug in y= 2400 into equation 1

x+2400=5000

x=2600

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3x -4y= -20 -x +2y =10 whats the value of y
Anni [7]
3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50
4 0
2 years ago
An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average
Harrizon [31]

Answer:

0.156

Step-by-step explanation:

Given that :

% of Explained variance by certain predictors of first year college grade :

SAT 11 scores = 17%

GPA = 15.6%

SAT 1 = 13.3%

Fitting a least squares line :

y = First year college GPA

x = high school GPA

THE r² value which is Coefficient of determination is the percentage of explained variance given by the regression line. The r² value of GPA will the as given above 15.6%

r² = 15.6% = 15.6/100 = 0.156

4 0
3 years ago
Draw and label a rectangular prism that has a surface area of 96 square meters.
Mashcka [7]
Basically what you need to do is draw 4 congruent rectangles and 2 comgriemt squares (The six sides of a rectangular prism). The sum of the area of these six quadrilaterals should equal 96. This would be my thought process.

Step 1: Sketch a Rectangular Prism

Step 2: Make some educated guesses on some possible side measurements for the quadrilaterals that form the prism.

Step 3: Guess and Check until the amount equals 96.

So we can guess that the sides of the rectangle might equal 2 and 3 units.

This would be 6 for the area. Times 4 for each of the 4 Rectangles. (24) and add the area of the ends of the prism (2*2*2) which is 8 and you will get 32.

Since we are looking for a surface area of 96 and not 32, we can assume that a 3*2*2 prism is not what we need. So we can try again with other values.

Let's try 6*3*3. 6*3*4 for the four rectangles plus 3*3*2 for the ends.
3 0
3 years ago
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GenaCL600 [577]

Answer:

Step-by-step explanation:

All you have to do is plug in -1 for x in the equation

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-3 times -1 = 3

Then you need to subtract 5 leaving it to be 3-5 = -2

Therefore the answer is C. - 2

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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