Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)
The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)
To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y
0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000
Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000
She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.
*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made
Answer:
17
Step-by-step explanation:
Substitute 5 in place of x
f(5) = 3*5 + 2
Answer:
Answer the first choice.
Step-by-step explanation:
Given
Points (-2,6) and (0,2)
y2 = 6
y1 = 2
x2 = - 2
x1 =0
m = (y2 - y1)/(x2 -x1)
Solution
m = (6 - 2)/(-2 - 0)
<em>m = 4 / - 2 <<<< ===== Answer.. </em>
m = - 2
Remark
If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.
Answer: there are 5 more girls than boys.
Step-by-step explanation:
The ratio of boys to girls in a classroom is 5:6. The total ratio is the sum of the proportion. It becomes 5 + 6 = 11
If there are 55 students in total, it means that the number of boys in the class is
5/11 × 55 = 25 boys
Also, the number of girls in the class is
6/11 × 55 = 30 girls
Therefore, the difference between the number of girls and boys in the class is
30 - 25 = 5 girls
