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Serggg [28]
2 years ago
6

Determine the future value of a $25000 investment at an annual rate of 4.85% compounded quarterly for 6 years.

Mathematics
1 answer:
Nutka1998 [239]2 years ago
3 0
 = $ 32,275.00

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.85%/100 = 0.0485 per year,
putting time into years for simplicity,
24 quarters ÷ 4 quarters/year = 6 years,
then, solving our equation

A = 25000(1 + (0.0485 × 6)) = 32275 
A = $ 32,275.00

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 25,000.00
at a rate of 4.85% per year
for 6 years (24 quarters) is $ 32,275.00.
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9 3/10 - 5 3/4 as a mixed number in simplest form
Artemon [7]

Answer:

3 1/20

Step-by-step explanation:

First, we will convert the mixed numbers into improper fractions...

9 3/10 (9*10=90+3=93) so the improper fraction is 93/10

5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4

We then want to make the denominator the same...

93/10 (*4) = 372/40

23/4 (*10) = 230/40

We then put it into the question...

372/40 - 230/40 = 142/40

Lastly, we now need to turn this into a mixed number...

142/40=3.55 so the answer is 3 2/40

3 2/40 in it's simplest form is 3 1/20

Hope this helps!

6 0
2 years ago
Read 2 more answers
Find the equation of the line that is perpendicular to y = –2x + 5 and contains the point
ivann1987 [24]

The given equation is: y+2x=5

To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.

The equation to a line perpendicular to it is:

$ 2y-x=c$

where, $c$ is some constant we have determine using the condition given.

It passes through $(2,-1)$

Put the point in our equation:

$2(-1)-(2)=c$

$c=-2-2$

$c=-4$

The final equation is:

$\boxed{ 2y-x=-4}$

4 0
2 years ago
How many days would it take a construction loan of $548,048 to earn$50,000 exact interest at 9% interest rate?
san4es73 [151]
\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &50000\\
P=\textit{original amount deposited}\to& \$548048\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years
\end{cases}
\\\\\\
50000=548048\cdot 0.09t\implies \cfrac{50000}{0.09(548048)}=t\implies 1.014\approx t
8 0
3 years ago
Read 2 more answers
I need the answers to these if you can’t read it it says “You drink 16 Fluid ounces of milk for breakfast every morning”.
Reika [66]

Answer: A. y = 16 x

B. 8 days

Step-by-step explanation:

A) Here, 16 Fluid ounces of milk is used for breakfast every morning.

In one day the consumption of milk = 16 fluid ounces

In x days the consumption of milk = 16 x fluid ounces

Thus, if y be the total milk in ounces that is used in x days,

The required function,

y = 16 x

B)  In 1 day,  consumption of milk = 16 ounces

⇒ 16\text{ ounces milk } = 1 \text{ day}

⇒ 8\times 16\text{ ounces milk } = 8\times 1 \text{ day}

⇒ 128\text{ ounces milk } = 8 \text{ day}

Since, 128 ounces = 1 gallon

⇒ 1\text{ gallon milk } = 8 \text{ day}

In 8 days, 1 gallon of milk will consumed.

4 0
3 years ago
Select the correct vectors.
Paha777 [63]

In the case above, the correct vectors are:

  • <25.98, -15>.
  • <1.71, 4.7>.

<h3>What is the ship vector about?</h3>

The solution for the Ship's vector are:

Note that the Horizontal aspect = 30 cos 30  

                                                   = 25.98.

For the  Vertical aspect = 30 sin(-30)

                                        = -15.

Hence it will be  <25.98, -15>.

In regards to the current's vector:

The Horizontal aspect=  5 sin 20

                                       = 1.71.

The Vertical aspect = 5 cos 20

                                     = 4.7.

Hence it will be <1.71, 4.7>.

Therefore, In the case above, the correct vectors are:

  • <25.98, -15>.
  • <1.71, 4.7>.

Learn more about vectors from

brainly.com/question/23973576

#SPJ1

4 0
1 year ago
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