Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to

where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so

substitute in the formula above

solve for x



therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Translation rotation reflection
Answer:
0.14 lb . . . closest choice is 0.11 lb
Step-by-step explanation:
The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...
A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches
The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...
V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches
The weight of material is the product of volume and density, so is ...
W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb
_____
<em>Comment on the question</em>
Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)
Answer:
it takes 13 votes to win a majority
Step-by-step explanation:
half+1 in the case of 25
it takes 13 votes to win a majority ( because there is nothing called half vote)