2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Step-by-step explanation:
The given is,
Initial investment - $5000
Future amount - $6000
Interest rate - 7.5% (compounded quarterly)
Step:1
Formula to calculate the Future amount with compound interest,
...................................(1)
Where, F - Future amount
P - Initial amount
r - Rate of interest
n - No. of compounding in a year
t - Time period
From given,
F = $6000
P = $5000
r = 7.5%
n = 4 (compounded quarterly)
Equation (1) becomes,
Take log on both sides,
Substitute log values,
0.07918 = 4(t) (0.0080676)
= (t) (0.0322705)
= 2.45
t ≅ 2.5 years
Result:
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Answer:
Maxima and minima are+ 4,-4; 2.67,-3; 2.2, -2.6, respectively.
The first and most noticeable wavelengths are 2 m and around 15 m however the 3-and 5-point filters gradually decrease the amplitude of the 2-m wave-length.
Let
<span>l ------------------> is the length
</span><span>w -----------------> is the width
</span><span>h ----------------- > is the height
we know that
h=6 ft
l=2+w
[</span>the volume of the storage ]=[l]*[w]*[h]------> [2+w]*[w]*[6]
[the volume of the storage ]=[l]*[w]*[h]------> 6*[2w+w²]-----> 6w²+12w
the answer is
V=[6w²+12w] ft²
Answer:
nuber 1
Simplifying
3x + 2y = 35
Solving
3x + 2y = 35
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3x + 2y + -2y = 35 + -2y
Combine like terms: 2y + -2y = 0
3x + 0 = 35 + -2y
3x = 35 + -2y
Divide each side by '3'.
x = 11.66666667 + -0.6666666667y
Simplifying
x = 11.66666667 + -0.6666666667y
Answer:
There were 693 students before the increase.
Step-by-step explanation:
You just take 90 percent of 770, which is 770 * 0.90 = 693.