Answer:
d=13
Step-by-step explanation:
step 1) combine like terms
8d-3d-12=53
5d-12=53
isolate d
5d-12+12=53+12
5d=65
d=13
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Read the values from the graph in the usual way: find the x-coordinate, then locate the point on the graph and find its y-coordinate.
You find the y-coordinate by following the horizontal line to the y-axis, where the numbers are.
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
angle 3 is 140°
Step-by-step explanation:
angle 2 and angle 3 are equal
angle 4 and 1 are also equal
angle 3 =
180-40= 140
angle 3 is 140
Answer:
3.5 inch^3
Step-by-step explanation:
Volume of cube: V = s^2,
where V = volume, and s = length of side or edge.
The volume of the prism is the same as the volume of 28 cubes with edge length of 1/2 inch. To find the volume of the prism, find the volume of one cube and multiply by 28.
volume of prism = 28 * volume of cube
volume of prism = 28 * (1/2 inch)^3
volume of prism = 28 * 1/8 inch^3
volume of prism = 3.5 inch^3