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Aleksandr-060686 [28]
3 years ago
12

Brad has a government bond that will be worth $10,588.13 in seven years. The bond has an interest rate of 6% compounded semiannu

ally. What is the current value of the bond?
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

HEY NRO

Step-by-step explanation:

You might be interested in
When a number is increased by 2.8%, the result is 56. What is the original number to
Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

56 \div 1.028 = 54.47

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

6 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Dmitry_Shevchenko [17]
Answer: x = 20

We know opposite angles are equivalent so we can set both of these expressions equal to each other to solve for x.

3x + 50 = 6x - 10
50 = 3x - 10 (subtract 3x from both sides)
60 = 3x (add 10 to both sides)
20 = x (divide both sides by 3)

8 0
3 years ago
JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Dvinal [7]
In the problem of insufficient data quantities. I can get a general  solution.We know that tangent to a circle is perpendicular to the radius at the point of tangency. It's mean that triangles LJM and LJK are rights.

Let angle JLK like X.

So, angle JLM=61-x.

And it's mean that by using right triangle trigonometry 

Radius MJ = LM*cos(61-X)
3 0
3 years ago
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining
kykrilka [37]

Answer:

C

Step-by-step explanation:

Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.

We can get this by subtracting the fractions of the first two phases from 1.

This goes as follows:

1 - (1/5) - (2/3) = 2/15

Now, we know that the final 8 kilometers constitute a fraction of just 2/5

Hence, we know that 2/15 of the total journey is 8 kilometers.

Let the total journey distance be T. This means that 2/15 of T is 8km

2/15 * T = 8km

T = ( 8 * 15 )/2 = 120/2 = 60km

6 0
3 years ago
Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.
AnnyKZ [126]

The total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

Let's suppose the quadratic function is:

c(x) = ax² + bx + c

Plug c(x) = $16

x = 2

16 = 4a + 2b + c ...(1)

Plug c(x) = $18

x = 4

18 = 16a + 4b + c ...(2)

Plug c(x) = $48

x = 10

48 = 100a + 10b + c ...(3)

After solving equations (1), (2), and (3) by substitution method:

a = 0.5

b = -2

c = 18

c(x) = 0.5x² -2x + 18

Plug x = 6 widgets:

c(6) = 0.5(36) - 12 + 18 = $24

Thus, the total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

5 0
2 years ago
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