Answer:
m=-3
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
Given:
Radius of circular mirror, r = 6x
Length of metal frame, l = 18x
Area of square, As = l^2
Area of square = 18x × 18x
= 324 x^2.
Area of circular mirror, Ac = pi × r^2
= π × (6x)^2
= 36π x^2.
The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac
= 324x^2 - 36πx^2
= 36x2 (9 - π).
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
