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serious [3.7K]
3 years ago
5

Please help with this problem! :)

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

∠STP = 90°

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, hence

∠STP = 90°

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how would a enter a payment that was accepted with a 4 month, 8% note in a payment of a $4800.00 account
Anon25 [30]

Answer:

Enter a payment of 5192.52.

Step-by-step explanation:

Consider the provided information.

The payment is $4800 with a 4 month, 8% note.

The amount can be calculated as:

Amount=p(1+\frac{r}{m})^{mt}

Where <em>p</em> is money invested, <em>r</em> is annual interest rate, <em>t</em> is number of years and <em>m</em> is number of period.

Now substitute p = 4800 r = 0.08 and m = 4 in the above formula.

Amount=4800(1+\frac{0.08}{4})^4

Amount=4800(1+0.02)^4

Amount=4800(1.02)^4

Amount=4800(1.08243216)

Amount=5195.52\ approximately

Hence, enter a payment of 5192.52.

6 0
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
Which expression is equivalent to ^4sqrt6/^3sqrt2?
BigorU [14]

\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{Answer:}\ 1)\ \sqrt[12]{\dfrac{27}{2}}

4 0
3 years ago
Read 2 more answers
A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the​ roof?
mixas84 [53]

Answer:

1.714 feet

Step-by-step explanation:

slope is rise over run.

rise would be the vertical measurement and run would be the horizontal measurement.


24/14 = 12/7


12/7 = 1.714

4 0
2 years ago
For every four female students in a training class, there are two men. There are seven male students. What is the total of numbe
prisoha [69]
There would be 14 female and 7 male, so the total number of students is 21.


6 0
3 years ago
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