How many real roots does a quadratic equation have if the discriminant is 10
1 answer:
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Answer:
yield of this new bond is 4.42%
Step-by-step explanation:
given data
bond = $5000
coupon rate = 4.6%
purchased bond = $5195
to find out
yield of this new bond
solution
We get here first amount paid to the bond holder
amount paid = 4.6% × $5000
amount paid = $230
and
so Tim earned $230 on a bond that cost her $5195
so yield of this new bond =
yield of this new bond = 4.42 %
After 2 hours time , both Abe and Gabe to cost the same amount .
<u>Step-by-step explanation:</u>
Here we have , a car needs fixing and Abe can fix it for $70 per hour with a $60 part, but Gabe can fix it for $80 an hour with a $40 part. We need to find How long will it take for both Abe and Gabe to cost the same amount .Let's find out:
Let the time for which both Abe and Gabe to cost the same amount be x hours, so according to question scenario we will have equation as :
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⇒
⇒
⇒
⇒
⇒
Therefore , After 2 hours time , both Abe and Gabe to cost the same amount .
Answer:
x = 47
Step-by-step explanation:
Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is
78 - 35 = 43.
The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that
43 + 90 + x = 180.
Then we can simplify the equation:
133 + x = 180⇒
x = 180 - 133⇒
x = 47
