Answer:
The amount $15000 is divided as
in 2% = $7000
in 5% = $8000
Step-by-step explanation:
It is given that the total amount is $15000 and rates of interests are 2% and 5%.
<em>Let the amount invested in 2% be "x", so the amount invested in 5% is (15000 - x).</em>
The annual interest on x part is given as,
= 
Similarly, The annual interest on (15000 - x) part is given as,
= 
the total annual interest is given as $540
Thus, <em>540 = 
</em>
<em>54000 = 
</em>
<em>21000 = 3(x)</em>
x = 
= 7000
Thus the shares are $7000 and (15000 - 7000) $8000 .
Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
we have
substitute and solve for x
Answer:
$110,080
Step-by-step explanation:
This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.
The general formula for such an arithmetic series is
a(n) = $80,000 + ($5,000)(n - 1)
and so in his 23rd year Jason would make
a(23) = $80,000 + ($5,000)(23 - 1), or
$110,080
Answer:
Step-by-step explanation:
Given:
27 + 2/3 ÷ 3 + 9/10
In division, compatible numbers are numbers that can be divided mentally.
27 + 2/3 ÷ 3 + 9/10
27 + 0.67 ÷ 3 + 0.9
27.67 ÷ 3.9
= 7.0948717948717
Approximately
= 7
But, alternatively
27.67 ÷ 3.9
27.67 is closer to 28
3.9 is closer to 4
Therefore,
28 ÷ 4
= 7
The quotient of 27 + 2/3 ÷ 3 + 9/10 using compatible numbers is around 7
