Answer: $146.25
Step-by-step explanation:
To solve the question, we need to first calculate the number of hours between 7 AM to 2 P.M which is 7 hours but we are told that there is a 30 minutes break. Therefore, he works for 6 hours 30 minutes which is 6 1/2 hours.
She's paid $4.50 pee hour, therefore the amount paid per day will be:
= 6 1/2 × $4.50
= 6.50 × $4.50
= $29.25
The amount that she'll make in 5 days will be:
= $29.25 × 5
= $146.25
Hey there!
If two angles are supplementary, that means that the measures of the two angles have a sum of 180.
If the two angles were of equal measure, they would both be 90 degrees.
The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.
90 - 12 = 78
90 + 12 = 102
Let's check to make sure this works.
102 + 78 = 180 That checks out.
102 - 24 = 78 That also works.
So, the measures of the angles are 102 and 78.
Hope this helps!
9514 1404 393
Answer:
Perimeter: 17 inches
Area: 8 square inches
Step-by-step explanation:
The ratio of perimeters is the same as the similarity ratio.
JKLM perimeter / ABCD perimeter = P/68 = 1/4
Multiplying by 68, we get ...
P = 68/4 = 17 . . . . inches
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The ratio of areas is the square of the similarity ratio.
JKLM area / ABCD area = A/128 = (1/4)^2
Multiplying by 128, we get ...
A = 128/16 = 8 . . . . square inches
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Perimeter = 17 inches
Area = 8 square inches
Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
To find the midpoint, Add the two X coordinates together then divde by two and then to the same with the Y coordinates:
X = -4 + 2 = -2 / 2 = -1
Y = 6+7 = 13/2
Midpoint = (-1,13/2)
