Answer:
$2500 at 8%.
$2900 st 5%.
Step-by-step explanation:
Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.
We have been given that Heather has divided $5400 between two investments. We can represent this information as:
The return on her investment is $345.
Earnings from the investment at 8% will be 8% of x.
Earnings from the investment at 5% will be 5% of y.
We will use substitution method to solve our system of equations. From equation (1) we will get,
Substituting this value in equation (2) we will get,
Therefore, Heather has invested an amount of $2900 at 5%.
Let us substitute y=2900 in equation (1) to solve for x.
Therefore, Heather has invested an amount of $2500 at 8%.
Answer:
S=1444.4
Step-by-step explanation:
they already gave the formula so
13 is the height, 10 is the radius
plug it in to the formula (using 3.14 for pi)
S=2(3.14)(10)^2+2(3.14)(10)(13)
S=628+816.4
S=1444.4
PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20
Variable
h and s
Constant
40
PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5
PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40
Answer:
Lets take the hypothesis
<em>zα/2 </em>
<em>- zα/2 </em>
Step-by-step explanation:
<em>α/2 = 0.10/2 = 0.05
</em>
<em>z(0.05) = 3.92
</em>
<em>-z(0.05) = -3.92
</em>
