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3 years ago

A trapezoid has a base of two and six and an area of 24 square units. What is the height?

1 answer:

8 0

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h$

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In dire need of help with APR and APY! Please Help!

Sedbober [7]

<span>For example, a credit card company might charge 1% interest each month; therefore, the APR would equal 12% (1% x 12 months = 12%). This differs from APY, which takes into account compound interest. The APY for a 1% rate of interest compounded monthly would be 12.68% [(1 + 0.01)^12 – 1= 12.68%] a year. If you only carry a balance on your credit card for one month's period you will be charged the equivalent yearly rate of 12%. However, if you carry that balance for the year, your effective interest rate becomes 12.68% as a result of compounding each month.</span>

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3 years ago

What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce

bija089 [108]

Answer:

Total amount that Matthew's bank will receive is $10099.81.

Step-by-step explanation:

We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.

The formula for compound interest is:

$A=P(1+r)^n$

Where A = future value

P= Principal Amount

r = interest rate

and n= time

So in the question we are given:

P= $8000

r = 6% or 0.06

t = 4 (since 4 yeras compounded annually)

A= 8000*(1+0.06)^4

A= 8000*(1.06)^4

A= 10099.81

So, total amount that Matthew's bank will receive is $10099.81.

6 0

3 years ago

If two students from this college are selected at random, what is the probability that they are both males?

igor_vitrenko [27]

Answer:

$P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09$

Step-by-step explanation:

Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"

Previous concepts

An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.

When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:

$P(A and B) = P(A)*P(B)$

Solution to the problem

We can define some notation:

$A_1$ first person selected is a male

$A_2$ second person selected is male

On this case we want the probability that both would be males. And we can express this like this on math terms:

$P(A_1 and A_2)$

For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:

$P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09$

5 0

3 years ago

Find the value of X

olchik [2.2K]

<h3>Answer: 112</h3>

=========================================================

Explanation:

The angle adjacent to the 146 degree angle is 180-146 = 34 degrees.

In other words, the angles 34 and 146 combine to 180. These angles are supplementary.

The tickmarks on this triangle tell us it is isosceles. The angles opposite the congruent sides are congruent angles. So the unmarked interior angles (not marked x) are 34 degrees each.

Now use the fact that any triangle has its interior angles always add to 180

x+34+34 = 180

x+68 = 180

x = 180-68

x = 112

5 0

3 years ago

Solve the system of equations:

Simora [160]

Answer:

x1=6 , x2=1

Step-by-step explanation:

If you have any questions about the way I solved it,don't hesitate to ask

8 0

3 years ago