Answer:
(a) 8.15
(b) 12.92
Step-by-step explanation:
Given: P = $3000, r = 0.085
Where
A is the Amount
P is the Principal
r is the rate
t is the time
(a) For the amount to double, A = 2 × P
A = 2 × $3000
A = $6000
Take 
of both sides
But 
∴ 
t = 8.15
(b) For the amount to double, A = 3 × P
A = 3 × $3000
A = $9000
Take of both sides
But
∴ 
t = 12.92
-133/2=-66.5
If we take the upper and lower round of that number we will get the 2 consecutive numbers that make -133.
Therefore the answer is -66 & -67.
Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.
We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.
9514 1404 393
Answer:
4254.31
Step-by-step explanation:
The compound interest multiplier is ...
m = (1 +r/n)^(nt) . . . . annual rate r compounded n times per year, t years
For 11% compounded quarterly for 18 years, the multiplier is ...
m = (1 +0.11/4)^(4·18) = 1.0275^72 ≈ 7.0516671
If 30,000 is the future value, then the present value is ...
PV = FV/m = 30,000/7.0516671
PV ≈ 4254.31
Answer:
Both of these graphs are quadratics. They both form a parabola opening up
Step-by-step explanation:
The only difference between g(x) and f(x) is that g(x) is moved to the left 7 unit and has a horizontal stretch of 1/4
