Answer: it would be worth $11925 when it matures after 7 years.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount invested in the CD.
R represents interest rate on the amount invested in the CD.
T represents the duration of the investment in years.
From the information given,
P = $10,000
R = 2.75%
T = 7 years
I = (10000 × 2.75 × 7)/100
I = $1925
Therefore, the worth of the CD in total at the end of 7 years when the CD matures is
10000 + 1925 = $11925
Answer:
18
Step-by-step explanation:
7 - 5 = 2
triangle = bh/2
triangle = 2(3) / 2
triangle = 3
rect = bh
rect = 3 x 5
rect = 15
trapezoid = 15 + 3
trapezoid = 18
<h3>
Answer: 90 cubic meters</h3>
Each triangle has a base of 10 and height of 3.6
area of triangle = 0.5*base*height = 0.5*10*3.6 = 18 square meters
multiply this with the height of the prism (5 meters) to get 18*5 = 90 cubic meters. I'm using the idea that,
volume of prism = (area of base face)*(height of prism)
The notation "m^3" is shorthand for "cubic meters"
We do not use the other dimensions of 9 m and 7 m.
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
12 + 5x > 2(8x - 6) - 7x
12 + 5x > 16x - 12 - 7x
5x - 16x + 7x > -12 - 12
-4x > -24 / : (-4)
x < 6
