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Irina-Kira [14]
3 years ago
7

Find the value of c that makes the expression a perfect-squaretrinomial.• 6) x2 + 26x + c​

Mathematics
1 answer:
slava [35]3 years ago
8 0
The value of c would be 169
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Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
What is the slope of the line graphed below
Solnce55 [7]
Slope is 1/3

Equation of the line is:

y = 1/3x - 8
6 0
3 years ago
Which of these equations would give you the balance on an account with a principal of $3000 and an interest rate of 8%, compound
GrogVix [38]
It would be 3000 x 1.08^5
8 0
3 years ago
26,862÷407= <br> PLZZZZ HELPPP
tino4ka555 [31]
26,862 divided by 407 is 66

Here's the long division way that shows how you get 66

7 0
2 years ago
NO LINKS OR FILES!!!!!!! How many millimeters is this line segment?
34kurt

Answer:

remember this line it will help you

<h3>Milli centi deci meter dega hecto kilometer</h3>

Step-by-step explanation:

<h2>milli to centi takes 10 points difference so option c. 40 millimeters is the correct answer</h2>
7 0
2 years ago
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