Using simple interest, we have that:
A) The interest due after 8 months is $11,272.33.
B) The total value of the investment will be of $189,986.24.
The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:
[tex]E = Pit[/tex]
In this problem:
Deposit of $178,000, hence [tex]P = 178000[/tex].Interest rate of 9.5% per year, hence [tex]i = 0.095[/tex].8 months, the time is in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]Item a:
[tex]E = Pit[/tex]
[tex]E = 178000(0.095)\frac{2}{3} = 11272.33[/tex]
The interest due after 8 months is $11,272.33.
Item b:
For the second interest, we consider [tex]P = 11272.33[/tex], hence:
[tex]E_2 = Pit[/tex]
[tex]E_2 = 11272.33(0.095)\frac{2}{3} = 713.91[/tex]
The total value will be composed by:
The initial deposit of $178,000.The first interest of $11,272.33.The second interest of $713,91.Hence, it will be:
[tex]T = 178000 + 11272.33 + 713.91 = 189986.24[/tex]
The total value of the investment will be of $189,986.24.
A similar problem is given at https://brainly.com/question/13176347
If m<8= x°, which angles have a measure of 180º – xº? Select all that apply.
<3
<4
<6
<10
Answer:
∠6, ∠10
Step-by-step explanation:
Apparently, we are to assume that the avenues are parallel.
The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.
Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.
_____
Additional comment
It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One day, the equipment elevator begins to descend. After seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that time, which elevator is deeper?
The position of the equipment elevator relative to the surface is (blank) feet
Answer:
272
Step-by-step explanation: I had i
using oliver's table, how can you find the unit rate
The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.
How to find the unit rate?From the given table and graph, we see that;
Number of strides taken is on the x-axis.
Distance covered for each respective number of strides is on the y-axis.
Now, the rate will be;
Rate = Change in Distance covered/Change in number of strides
Thus;
Rate = (14 - 7)/(4 - 2)
Rate = 7/2
Rate = 3.5 ft per strides
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Answer:
Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.
Step-by-step explanation:
To get a free bonus gift, you must spend at least $100 in a
certain department store on Tuesday. On Tuesday, Mary made
purchases of $15, $26.50, and $40. What is the least amount she
needs to spend in order to be eligible for the bonus gift?
Spent amount= $81.50
Pending= $18.50
1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.
Answer:
16.49%
Step-by-step explanation:
0.97+16.49%=1.129953
The percentage increase is 16.49%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100)
We are given that the price of a newspaper increased from $0.97 to $1.13
WE need to find the percentage increase.
Therefore,
Intital price = 0.97 ( 1.13 - 0.07)
= 0.16 / 0.97 x 100
= 16/0.97
= 16.49
0.97+16.49% = 1.129953
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What is the range of this relation?
(8,-9)
(5, -3)
(-4, 6)
(-3, -2)
(6,8)
(8,6)
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Answer:
(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.
What is the standard form of this expression?
(1 + 71i)(3 - i)
the standard form of this expression is
(72+3)(-i)
A number is between 14 and 19. It has prime factors of 2 and 3. What is the number
Answer:
18
Step-by-step explanation:
18devided by 3 is 6 and 18 divided by 2 is 9
The number that has prime factors of 2 and 3 is 18.
What are prime factors?
Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.
What are the factors of the numbers between 14 and 19?
Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16To learn more about factors, please check: https://brainly.com/question/26073850
666.96358875 × 411.8596678
Answer:
274695.40209727081725
Step-by-step explanation:
Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?
Answer:
$11.16 - $0.68 = $10.48 - price of four cards without tax
$10.48 : 4 = $2.62 - price of one card without tax
Cheers!
Answer:
the cost of each card including sales tax is 2.79
the cost of each card without sales tax is
11.16-0.68=10.48
10.48÷4=2.62
Step-by-step explanation:
25. Save the simultaneous equations 2x-y=4;x+y=5
Answer:
Step-by-step explanation:
2x-y=4 ..........(1)
x+y=5 ...........(2)
Add equation 1 and 2:
We get:
3x=9
x=9/3
x=3
Substitute value of x in (2):
x+y=5
3+y=5
y=5-3
y=2
(3,2)
What is the value of the expression
4(2+y)
2y-z when x=2 and y=4
A.4
B.8/3
C.12/5
4(2+y)2y-z when x=2 and y=4
4(2+4)2×4-z
4(6)(8-z)
(4×6)(-8z)
24-8z
z=24÷8
8/3
Therefore 8/3 is last answer .
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [4(2 + y)] / (2y - x)
The value of the expression at x = 2 and y = 4 will be given as,
⇒ [4(2 + 4)] / [2(4) - 2]
Simplify the equation, then we have
⇒ (4 × 6) / (8 - 2)
⇒ 24 / 6
⇒ 4
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
More about the value of the expression link is given below.
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What Is the Intersection of Two Sets
Answer:
the set of elements that are common to each of the given sets
Step-by-step explanation:
What is the value of the function Y equals 2X plus 3 When x equals -1
Answer:
1
Step-by-step explanation:
Y=2x+3
Y=2×(-1)+3
Y=1
Can someone help me out with this please
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!
Answer:
b; |-4|<|-5|
Step-by-step explanation:
Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.
i need help it is due today
Answer:
8
Step-by-step explanation:
Using the Heron's formula we can find that the total area of the triangle is 84 inches.
Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2
Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.
what rule is this, please answer correctly, please
Answer:
Reflection
Step-by-step explanation: It is reflection because it is the same thing just reflected
Answer:
Vertical reflection of MNOP quadrilateral
Step-by-step explanation:
Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.
here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection
Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
solve pls brainliest
Answer:
1)3 meters/second
2)-16°C
Step-by-step explanation:
Hope it can help you lovelots
QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
O a) 19%
Ob) 23%
O c) 81%
I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%
I am very sorry if this is wrong in anyway!
Answer:
the answer is 23%
Step-by-step explanation:
i used a percent increase calc... was too lazy to do the work haha
Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done
Answer:
100J
Step-by-step explanation:
work done = force x distance
= 200 x 0.5
= 100J
The exchange rate at the Post Office is $1 = (1.17
How many euros will you get for E280?
Answer:
In £280, there will be €327.6.
Step-by-step explanation:
Since we have given that
£1 = €1.17
We need to find the value of £280.
Using "Unitary method", we will multiply 1.17 by 280 and we get that
Hence, in £280, there will be €327.6.
# learn more:
The exchange rate at the post office is 1 pound = 1.17 euros
how many euros will you get for 280 pounds
Multiply 280 both sides
£ 280 = € 1.17 × 280
£ 280 = € 327.6
£ 1 = € 1.17
(Hope this helps can I pls have brainlist (crown)☺️)
what is the quotient of 3/4 and 5/8
Answer:
6/5
Step-by-step explanation:
3/4 ÷ 5/8
Keep Change Flip
3/4x8/5
=6/5
Hope this helps :)
Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.
Answer:
3
Step-by-step explanation:
Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3
IM GIVING OUT BRIANLIEST
Answer:
3.78
Step-by-step explanation:
New Brunswick middle school had 1,250 students last year this year they had a 15% increase. how many students are in new Brunswick middle achool this year?
You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?
Answer: - 27 meters
Step-by-step explanation:
1. 86 m Start at 86 meters
2. +35 m Go up another 35 meters
3. -148 m Go down 148 meters.
4. - 27 meters Net change in elevation
The net result is a negative 27 meters in elevation from the start of the hike.
Help plzzz I am not good at this!!!
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other
What is the slope of this equation and Y intercept.
Y= 3/5x + 6
Answer:
the y-intercept is 6 the slope is 3 / 5
Step-by-step explanation:
slope-6
y-intercept-3/5
Answer:
M = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
.