Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
Answer:
Step-by-step explanation:
According to the diagram we observe:
- ∠ACD is the exterior angle of triangle ABC.
As we know the exterior angle is same as the some of the remote interior angles.
It can be shown as:
Substitute the values and solve for x:
- 5x - 18 = 3x - 2 + x + 14
- 5x - 18 = 4x + 12
- 5x - 4x = 12 + 18
- x = 30
Find the measure of m∠ABC:
The matching <u>answer</u> choice is D.
You find this value by factoring. Factoring finds the zeros of the function. When the ball hits the ground, it has 0 height. Therefore, when the function goes through the x axis, it has a y value of 0. That means that when y = 0, the ball has hit the ground. Use the quadratic formula to factor
. Notice I rearranged the terms. When you factor that you get zeros of -3.19 and 2.19. The two things in math that will never EVER be negative are time and distance/length. Therefore, that tells us that the ball hits the ground 2.19 seconds after it was thrown.
Answer:
The two integers are -34,-33
Step-by-step explanation:
x 1st integer
x+1 2nd integer
The sum is -67
x+x+1 = -67
Combine like terms
2x+1 = -67
Subtract 1 from each side
2x+1-1 = -67-1
2x= -68
Divide by 2
2x/2 = -68/2
x = -34
x+1 = -34+1 = -33
Answer:
<em>$600.00</em>
Step-by-step explanation:
To find the answer we must first <em>divide 3 by 100 to find its actual worth</em>, <em>3 ÷ 100 = 0.03</em>. Take <em>0.03 and multiply it by 5,000</em>, and you get<em> 150</em>. Now we have the <em>annual interest in a year</em>, so lets <em>multiply it by 4 years</em>, and we get <u><em>$600. </em></u>
