Answer:
Monthly rent for Year 9: $1,653.5
Total cost of rent for the whole 9th year: $19,841.9
Step-by-step explanation:
Given the monthly rent of $800 for an aparment, for which it is set to increase by 9.5% annually:
Increase in the Monthly Cost of RentYear 1:The monthly rent will stay at $800 for the first year.
Year 2:For year 2, we must add the 9.5% increase in the monthly rent. In order to determine the 9.5%, simply multiply the monthly rent by 0.095 (the decimal equivalent of 9.5%), then add the product to the monthly rent in year 1 of $800.
9.5% increase for Year 2: $800 × 0.095 = $76
Monthly rent in Year 2: $800 + $76 = $876
Year 3:For year 3, we must add the 9.5% increase in the monthly rent from Year 2 ($876).
9.5% increase for Year 3: $876 × 0.095 = $83.22
Monthly rent in Year 3: $876 + $83.22 = $959.22
Year 4:For year 4, we must add the 9.5% increase in the monthly rent from Year 3 ($959.22).
9.5% increase for Year 4: $959.22 × 0.095 = $91.13
Monthly rent in Year 4: $959.22 + $91.13 = $1,050.35
Year 5:For year 4, we must add the 9.5% increase in the monthly rent from Year 4 ($1,050.35).
9.5% increase for Year 5: $1,050.35 × 0.095 = $99.78
Monthly rent in Year 5: $1,050.35 + $99.78 = $1,150.13
Year 6:9.5% increase for Year 6: $1,150.13 × 0.095 = $109.26
Monthly rent in Year 6: $1,150.13 + $109.26 = $1,259.39
Year 7:9.5% increase for Year 7: $1,259.39 × 0.095 = $119.64
Monthly rent in Year 7: $1,259.39 + $119.64 = $1,379.03
Year 8:9.5% increase for Year 8: $1,379.03 × 0.095 = $131.00
Monthly rent in Year 8: $1,379.03 + $131.00 = $1,510.04
Year 9:9.5% increase for Year 9: $1,510.04 × 0.095 = $143.45
Monthly rent in Year 9: $1,510.04 + $143.45 = $1,653.50
Yearly Cost of Rent:In order to determine the yearly cost of renting an apartment, simply multiply monthly rent by 12. In other words:
Year 1: $800 × 12 = $9600
Year 2: $876 × 12 = $10,512
Year 3: $959.22 × 12 = $11,510.64
Year 4: $1,050.35 × 12 = $12,604.15
Year 5: $1,150.13 × 12 = $13,801.55
Year 6: $1,259.39 × 12 = $15,112.69
Year 7: $1,379.03 × 12 = $16,548.40
Year 8: $1,510.04 × 12 = $18,120.50
Year 9: $1,653.50 × 12 = $19,841.94
Therefore, due to the 9.5% annual increase in rent, the monthly cost of an apartment during the 9th year is $1,653.5, or $19,841.9 (12-months' worth of rent).
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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what is 2/3 divided by 1/3
A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.
Answer:
yy is the comparative narrow of speech to me happy and a bit in a sentence
Step-by-step explanation:
ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be
The graph shows the savings in Andre's bank account. What is the slope of the line?
Answer:
m=5
Step-by-step explanation:
you have to use the formula y2-y1/x2-x1.
y2= 60
y1= 40
60- 40= 20
x2= 4
x1= 0
4-0= 4
20/4= 5
hope this helps
Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.
Answer:
$15,000
Step-by-step explanation:
Let P represent Aiden's current pay.
If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.
P + 0.15P = 17250
1.15P = 17250
P = 17250/1.15 = 15000
His salary before the increase was $15,000.
Answer:
$14662.5
Step-by-step explanation:
Aiden receives a pay rise of 15%
increases their pay to $17,250
15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase
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I think when you copied and pasted your question it re arranged itself
Solve the Quadratic equation
8n²-56=48n
Answer:
n = {-1, 7}
Step-by-step explanation:
8n² - 56 = 48n
Subtract 48n from both sides
8n² - 48n - 56 = 0
Divide both sides by 8
n² - 6n - 7 = 0
Factor
alternately use the quadratic equation or complete the square
(n - 7)(n + 1) = 0
n = {-1, 7}
48 mouse traps/6 people = X mouse traps/1 person
Answer:
8 mousetraps
Step-by-step explanation:
to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.
Jessica bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 19 dollars. How much did each candy bar cost ?
Answer:
$3
Step-by-step explanation:
19-4= 15
15 divided by 5= 3
I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get
If he get 96 new customers that means he will have to sign 24 customers
for the new service features.
The deal is to get 25% of your new customer to sign the new service features.
When the new customers are 96 in numbers, the number of individuals(25%
of the new customers) to be signed for the new features can be calculated as
follows:
New customer to sign for the new features = 25% of 96
New customer to sign for the new features = 25 / 100 × 96
New customer to sign for the new features = 2400 / 100
New customer to sign for the new features = 24
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This means that if I get 96 new customers that means I have to get 24 new customers
From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.
Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:
= 25% of 96
= 0.25 * 96
= 24 new customers
This means that if I get 96 new customers that means I have to get 24 new customers
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Simplify 9 - 3(5-4x)
Answer:
12x-6
Step-by-step explanation:
9-3(5-4x) distribute
9-15+12x subtract
-6+12x rearrange
12x-6
Explain the equivalence of 7 divided by 2 or 7/2and using words.
Answer:
so this is what i think im not sure but ot will be seven dived by two . i hope this works
Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?Please this is for my homework
Answer:
$0.70
Step-by-step explanation:
5 × $0.36 = $1.80
$2.50 - $1.80 = $0.70
I hope this helped!
Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E
Answer:
EF= 18 in. , m<F=134'
Step-by-step explanation:
This ones for the boys with the booming system, top down ac with the cooling sytem
what is the sum of 25.234 and 14.454
What is the sum of 25.234 and 14.454
25.234
14.454
_______ +
39.688
25.234 + 14.454 = 39.688 ✔️
Solve the inequality and enter your solution as an inequality.
7x > 49
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Simplify.
–36 + (–74)
–110
–100
38
110
-------------------------------
- 36 + (-74)
- 36 - 74
- 110
<3
solve for x. round to the nearest tenth of a degree, if necessary
Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?
Duke swims 0.05 miles in a minute.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Duke swims 0.10 mile in 2 minutes.
Now,
Since, Duke swims 0.10 mile in 2 minutes.
Thus, Speed = 0.10 / 2
Speed = 0.05 mile per minute
And, He swims at the same speed.
Thus, Distance in 1 minute,
Speed = Distance / Time
0.05 = Distance / 1
Distance = 0.05 miles.
Thus, Duke swims 0.05 miles in a minute.
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2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Answer:
[tex]0.225 \Omega =225 m\Omega[/tex]
Step-by-step explanation:
We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes
[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]
Identify the similar triangles.
ΔHFE=
ΔHFE=
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
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The image point of A after a translation right 4 units and down 2 units is the point B(4,−5). Determine the coordinates of the pre-image point A.
Answer:
THE ANSWER
Step-by-step explanation:
Hope it helps❤️
Answer:
(0, -3)
Step-by-step explanation:
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answer:
107
Step-by-step explanation:
Because, 36+35=71
and 71+36=107
Answer:
107
Step-by-step explanation:
not that hard bro
A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted
Answer:
1800.
Step-by-step explanation:
If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 = 25!/ (25-2)!
= 600.
If the first number is M or P the number is the same so that makes 1800 possibilities.
I need it asap thanks
Answer:
Point-slope form: y - 3 = -6/5 (x + 5)
Slope-intercept form: y = -6/5x - 3
45 divided by 855 show your work!
Answer:
45 divided by 855 is a very odd number however 855 divided by 54 is 19 ... because 45 multiply by 19 is 855
Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer
3. About 31% of the people who come to the park bring a dog. One third of people who come to the park
exercise. Which group of people represents a larger percent of the people coming to the park
Let all people be 100%
Now
People bring dog=31%
1/3rd of people
[tex]\\ \sf\longmapsto 100/3=33.3\%[/tex]
Second group people has larger percentage
PRETTY PLS HELP ME JUST 2 MORE QUESTIONS PLS 50 POINTS
Answer:
I think that you should take your time and answer, every one can help you
Step-by-step explanation:
Step-by-step explanation:
ok give question and intro new sis
Help ASAP!!!!!
A. 1/4
B. 4
C. - 1/4
D. –4
Answer:
D. -4
Step-by-step explanation:
