Step-by-step explanation:
Find out how much you get money from the annual interest:
100% = 1750
1% = 1750 ÷ 100 = 17.5
6.05% = 17.5 x 6.05 = 105.87
Find out how much you get from interest in 2 years.
105.87 x 2 = 211.74
(Final answer)
The answer is 671
3,039/9
671
671*9
3,039
Answer:
Cosine graph
Step-by-step explanation:
Mark as brainliest
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2
9514 1404 393
Answer:
12 quarters
20 dimes
Step-by-step explanation:
If all were dimes the value would be $3.20. It is $1.80 more than that. Each replacement of a dime with a quarter adds $0.15 to the value, so there must be $1.80/$0.15 = 12 such replacements.
There are 12 quarters and 20 dimes.
_____
Let q represent the number of quarters.
0.25q +0.10(32 -q) = 5.00 . . . . . total value
0.15q +3.20 = 5.00 . . . . . . . . . simplify
q = (5.00 -3.20)/0.15 . . . . . . subtract 3.20 and divide by 0.15
q = 12
