Answer:
Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
Step-by-step explanation:
With the information provided you can write the following equations:
x+y=3800 (1)
0.045x+0.055y=180 (2), where:
x is the amount invested in a savings account
y is the amount invested in a government bond
First, you can solve for x in (1):
x=3800-y (3)
Next, you can replace (3) in (2) and solve for y:
0.045(3800-y)+0.055y=180
171-0.045y+0.055y=180
0.01y=9
y=9/0.01
y=900
Finally, you can replace the value of y in (3) to find x:
x=3800-900
x=2900
According to this, the answer is that Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
Answer:
The answer is 5
Step-by-step explanation:
Answer:
10.125 ft^2
Step-by-step explanation:
Our strategy will be to find the area of each shape, therefore finding the area of each rectangle and the triangle, and then adding all the areas together. So, for the leftmost rectangle, the area is 1.5 ft x 3 ft = 4.5 ft. For the bottom rectangle, the area is the same, due to it having the same side lengths. For the triangle, we can find the area using A = (1/2) x base x height. The base and height are both 1.5, due to them being sides of the two rectangles. Therefore, the area is 1.5 x 1.5 x (1/2) = 1.125. Then, to get the total area we have to add up the areas we've already calculated. Therefore 4.5 + 4.5 + 1.125 = 10.125 ft^2
Step-by-step explanation:
4x-12<16+8x
4x-8x<16+12
-4x<28
x>-7