Answer:
178
Step-by-step explanation:
√31684 = 178
This means that 3/10 are red and that 7/10 are red, so 7/10(80) = 56blue marbles and 3/10(80)= 24red marbles
Answer:
A = $996.00
Step-by-step explanation:
(I = A - P = $196.00)
Equation:
A = P(1 + rt)
Where:
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 800(1 + (0.07 × 3.5)) = 996
A = $996.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.
Answer:
Lateral surface area = 45.5
Total surface area = 60.2
Step-by-step explanation: To find the lateral surface area, we first need to find the surface area of one triangle. For the triangle on the right/left, you multiply 3.5*5.8, which equals 20.3. Since this is a triangle, we multiply the product (20.3) by 1/2. The answer is 10.15. Since there are two triangles with the same dimensions as this, we multiply 10.15 by 2, which equals 20.3. For the triangle on the top/bottom, we multiply 4.2*6, which equals 25.2. Since this is a triangle again, we multiply 25.2 by 1/2. The answer is 12.6. Since there are two triangles with the same dimensions as this, we multiply 12.6 by 2, which equals 25.2. Now we add 20.3 + 25.2, which equals 45.5. This is the lateral surface area.
To find the total surface area, we now need to find the area of the base as well. To do so, we multiply 4.2 by 3.5, which equals 14.7. Now we add 45.5, the area of all the triangles, with 14.7, the area of the base. The answer is 60.2.
I hope this helps!
Answer:
b
Step-by-step explanation:
