Answer:
D = $8637.45
Step-by-step explanation:
Rate = 3.65% = 0.0365
Principal = 5000
Time (t) = 15 years
N = 12 (since its compounded monthly)
Compound interest (A) = P(1 + r/n)^nt
A = 5000(1 + 0.0365 / 12)^15*12
A = 5000(1 + 0.00304)¹⁸⁰
A = 5000(1.00304)¹⁸⁰
A = 5000 * 1.7269
A = 8634.86
The investment would worth $8634.86
Note: the final answer may vary slightly from the answer in the options due to ± from approximation
Answer: b. 134
Step-by-step explanation:
Given : A minimum usual value of 135.8 and a maximum usual value of 155.9.
Let x denotes a usual value.
i.e. 135.8< x < 155.9
Therefore , the interval for the usual values is [135.8, 155.9] .
If interval for any usual value is [135.8, 155.9] , then any value should lie in this otherwise we call it unusual.
Let's check all options
a. 137 ,
since 135.8< 137 < 155.9
So , it is usual.
b. 134
since 134<135.8 (Minimum value)
So , it is unusual.
c. 146
since 135.8< 146 < 155.9
So , it is usual.
d. 155
since 135.8< 1155 < 155.9
So , it is usual.
Hence, the correct answer is b. 134 .
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
- portion of the total= amount of money saved= $102.9
- total amount= Lillie's current monthly net pay= $490
So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
The first thing you want to do is plug in x and y into both equations:
a(3) + b(4) = 4
b(3) + a(4) = 8
rearrange to line up a’s and b’s
3a + 4b = 4
4a + 3b = 8
now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.
4(3a + 4b = 4) = 12a + 16b = 16
3(4a + 3b = 8) = 12a + 9b = 24
Now we subtract the bottom equation from the top and solve for b:
12a + 16b - (12a + 9b) = 16 - 24
7b = -8
b = -8/7
Now we plug back in for b to one of the original equations:
3a + 4(-8/7) = 4
3a + (-32/7) = 4
3a - (32/7) = 4
3a = 4 + (32/7)
3a = (28/7) + (32/7)
3a = 60/7
a = (60/7)/3 = 20/7.
Finally, plug a and b in together to double check using the second equation.
4a + 3b = 8
4(20/7) + 3(-8/7) = ?
(80/7) - (24/7) = ?
56/7 = 8.
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
