To find the current balance B after 13 months with an initial deposit of $2,713.00 and a 5% monthly service fee, you multiply the initial deposit by 0.95 to the power of 13, resulting in a balance of approximately $1,392.64.
Explanation:The student's question involves using a given mathematical formula to find the current balance of a savings account affected by a monthly service fee. The formula provided states that the current balance B is equal to the initial deposit I times the quantity (1 - monthly service fee f) raised to the power of the number of months n. To calculate the current balance after 13 months, given an initial deposit of $2,713.00 and a monthly service fee of 5%, you'd perform the following calculation:
Convert the percentage fee to a decimal: 5% = 0.05.Subtract the service fee from 1: 1 - 0.05 = 0.95.Raise the difference to the power of the number of months: 0.9513.Multiply the result by the initial deposit: $2,713.00 × 0.9513.Using a calculator, this gives:
B = $2,713.00 × (0.9513) ≈ $2,713.00 × 0.5133421 ≈ $1,392.64
Rounded to the nearest cent, the value of B after 13 months is $1,392.64.
Wayne is solving a system of linear equations.
y= -3/4x+5
X= -2
To solve this system, he graphed the line y= - 3/4x+5
When Wayne graphs the line x= -2, at which point will he find the solution of this system of linear equations?
In 2010, the estimated population of Chicago was 2.7×10^6 people. The population of Illinois that same year was about 4.76 times this number.
Which expression shows the approximate population of the state of Illinois in 2010?
Answer:
1.29 x 10^7 people
Step-by-step explanation:
1.29 x 10^7 people
Please help! How many inches is this?
help please really don't understand
A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters. How high off the ground is the top of the monument?
Answer:
65 meters off the ground.
Step-by-step explanation:
The height of the monument is 9.80 m
Explanation:To find the height of the monument, we can use the Pythagorean theorem. The rectangle on the pedestal forms a right triangle with the longest side of the monument being the hypotenuse. Let's call the height of the monument 'h'. Using the Pythagorean theorem, we have:
[tex]h^2 = (11^2) - (5^2)[/tex]
[tex]h^2 = 121 - 25[/tex]
[tex]h^2 = 96[/tex]
[tex]h = \sqrt{96[/tex]
h ≈ 9.80 meters
Each cube in this rectangular prism is 1 cm3. What is the volume of the rectangular prism? A. 9 cm3 B. 20 cm3 C. 40 cm3 D. 48 cm3
Darrel loaned his friend $2500 to help him with his business. If his friend pays Darrel back in 1 year with 15% simple interest, how much will he owe Darrel altogether?
Answer: $2875
Step-by-step explanation:
The formula to calculate the simple interest is given by :-
[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.
Given: Principal amount = $2500
Rate of interest = 15%=0.15
Time period = 1 year
Now, the simple interest gained by Darrel after 1 year will be :-
[tex]S.I.=2500\times 0.15\times 1=\$375[/tex]
Now, the total amount his friend owed altogether= [tex]P+I=2500+375=\$2875[/tex]
A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
A.
1200π ft2
B.
1260π ft2
C.
1800π ft2
D.
2940π ft2
The exact surface area of the cylinder with a radius of 30 ft and height of 19 ft is calculated using the formula 2πr(h + r), resulting in an area of 2940π ft², which matches option D.
To find the exact surface area of a cylinder, we use the formula that states the surface area (SA) is SA = 2πr(h + r), where r is the radius and h is the height of the cylinder. Given that the radius (r) is 30 ft and the height (h) is 19 ft, we plug these values into the formula:
SA = 2π(30)(19 + 30)
SA = 2π30(49)
SA = 60π(49)
SA = 2940π ft²
Therefore, the exact surface area of the cylinder is 2940π square feet, which corresponds to option D.
The graph of the function f is shown. f(4) =
A) 0
B) 1
C) 4
D) 5
Which choice below is a boxplot for the following distribution? 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19
Answer:
Option E - Box plot E
Step-by-step explanation:
Given : Data,
67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19
To find : Which choice below is a boxplot for the following distribution?
Solution :
Step 1- Arranging the data from lowest to highest,
{19,21,35,38,40,40,41,42,46,50,54,56,60,62,64,66,67}
Step 2 - Find the median of the data
As the data is odd numbers so the median is [tex]\frac{n+1}{2}[/tex] th term.
[tex]\frac{n+1}{2}=\frac{17+1}{2}=9th[/tex] term.
9th term is 46
∴ [tex]Q_2=46[/tex]
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{19,21,35,38,40,40,41,42}
Median of the set is [tex]M=\frac{38+40}{2}=39[/tex]
∴ [tex]Q_1=39[/tex]
Upper quartile data set is the median of the lower terms from median
{ 50,54,56,60,62,64,66,67}
Median of the set is [tex]M=\frac{60+62}{2}=61[/tex]
∴ [tex]Q_3=61[/tex]
We have plot the box plot attached below.
Our box plot is matched with Box plot E.
Therefore, Option E is correct.
Answer: Box plot E
Step-by-step explanation:
A P E X
An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.How much does the wood part of the sculpture weigh?PLZZZ HELP!!!!!!!
Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.
It says that three-fourth of the total weight is metal and says to find the weight of wooden part.
We can find the weight of metal part and then subtract it from the total weight to calculate the answer.
Total weight = 14.9 kilograms.
Metal part = three-fourth of total weight = [tex] \frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms [/tex]
Wooden part = 14.9 - 11.175 = 3.725 kilograms.
Hence, the wooden part is 3.725 kilograms.
3.725 kilograms or ¹/₄ part
Further explanationGiven:
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms.
³/₄ of this weight is metal, and the rest is wood.Question:
How much does the wood part of the sculpture weighs?
The Process:
From the information above, we make a diagram that matches the composition of the sculpture material.
[tex]\boxed{metal}\boxed{metal}\boxed{metal}\boxed{wood} = 14.9 \ kilograms[/tex]
³/₄ of this weight is metal, and the rest is wood, which is [tex]\boxed{ \ 1 - \frac{3}{4} = \frac{1}{4} \ }[/tex].And now, let us calculate the wood part of the sculpture weighs.
[tex]\boxed{ \ = \frac{1}{4} \times 14.9 \ kilograms \ }[/tex]
Both 4 and 14.9 are multiplied by 10.
[tex]\boxed{ \ = \frac{1}{40} \times 149 \ kilograms \ }[/tex]
[tex]\boxed{ \ = \frac{149}{40} \ kilograms \ }[/tex]
Both the numerator and denominator are divided by 4.
[tex]\boxed{ \ = \frac{37.25}{10} \ kilograms \ }[/tex]
[tex]\boxed{ \ = \frac{3,725}{1,000} \ kilograms \ }[/tex]
[tex]\boxed{\boxed{ \ 3.725 \ kilograms \ }}[/tex]
Thus, the wood part of the sculpture weighs is 3.725 kilograms or ¹/₄ part.
Learn moreWhat is the area of the whole mosaic in square inches? brainly.com/question/982984How many students are wearing a shirt other than blue or white? https://brainly.com/question/895261What is the amount of apple juice in each bottle? brainly.com/question/5798698Keywords: an artist, builds a sculpture, out of metal and wood, that weighs 14.9 kilograms, 3/4, metal, the rest is wood, how much, the wood part, of the sculpture weighs
jerry is 4 years older than hunter the sum of their ages is 24 how old is jerry
What’s twice the difference of a number and 8 is at least -20 using x as a variable into a inequality please help!!!
a number is added to 9. the result is then multiplied by 4 to give a new result of 120. what is the number ?
Answer:
n=21
Step-by-step explanation:
Ik im late but hopefully it can help other people :)
The equation is :
4(9+n)=120
n+9=120/4
n+9=30
n+9-9=30-9
n=21
Please rate... Thankyou :)
Number 8 question please answer
Ryan and his friends flip 4 coins. What is the probability that they will flip 2 heads and 2 tails?
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?
f(x) = 20,000(0.85)x
f(x) = 20,000(0.15)x
f(x) = 20,000(1.15)x
f(x) = 20,000(1.85)x
The value of Terrence's car after x years is
A = 20,000 ( [tex]1-0.15)^x[/tex]
What is depreciation?Subtract the asset's salvage value (what you expect it to be worth at the end of its useful life) from its cost to calculate depreciation using the straight-line technique. The depreciable basis, or the amount that can be depreciated, is the result. Divide this figure by the number of years the asset will be useful.
Depreciation is the rate at which an object's value declines over time.
it is given by the formula,
A = P [tex](1-r)^t[/tex]
where A is the value of object after x period of time, P is the principal amount, r is the rate of depreciation, and t is the for the time period.
Given:
Terrence buys a new car for $20,000,
rate of depreciation = 15%,
We know the formula of the rate of depreciation,
A = P [tex](1-r)^t[/tex]
Here A= $20, 000
r = 15% = 0.15
So, the value of Terrence's car is A = 20,000 ( [tex]1-0.15)^x[/tex].
Learn more about Depreciation here:
brainly.com/question/3023490
#SPJ7
What is 1,289,845 rounded to the nearest ten thousand?
1,289,845 rounded to the nearest ten thousand is 1,290,000.
Explanation:To round 1,289,845 to the nearest ten thousand, we need to look at the digit in the ten thousandth place, which is the 8 in this case. If the digit is 5 or greater, we round up, and if it is less than 5, we round down. Since the 8 is greater than 5, we round up. To do this, we keep the digit in the ten thousandth place as it is and change all the digits to the right of it to zeros. Therefore, 1,289,845 rounded to the nearest ten thousand is 1,290,000.
Learn more about Rounding here:https://brainly.com/question/34045884
#SPJ12
1. Describe how the figures are alike.
2. Describe how the figures are different.
All figures are in 3-D form. But the base of each polygonal prism is different.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to identical top and bottom faces. The name "prism" refers to the form of these bases.
All figures are in 3-D form. And all the figures are polygonal prism.
But the base of each polygonal prism is different.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ3
Express 3/10 + 45/100 as a fraction with denominator 100
What is the area of this figure? Drag and drop the appropriate number into the box. A = cm² 108 135 189 318 A shape made up of a square with the length measuring 9 centimeters and a height measuring 9 centimeters. There are two equally sized right triangles attached to the square. The base of each triangle measures 9 centimeters. The height of each triangle measures 12 centimeters. The remaining side of each triangle measures 15 centimeters.
Answer:
the answer is 189
Which expression shows 0.95 in expanded form?
solve the linear system using substitution. SHOW WORK HELP ME PLEASE
A local pizzeria sold 65 pizzas yesterday. Suppose the number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
9u^2^v and which term are like terms?
A.6u^2
B.9uv^2
C.15u^2^v
D.13u^2^v^2
What is the value of 83?
The scale on a map is 1:500000
Two towns are 7cm apart on the map
work out the actual distance between the map
Give your answer in kilometres
The actual distance between the two towns, considering that they are 7cm apart on a map with a scale of 1:500000, is 35 kilometers.
Explanation:
In the given scenario, you're being asked to find the actual distance between two towns based on their distance on a map, using the map's scale, which is 1:500000. This means 1 cm on the map is equivalent to 500000 cm on the ground.
Since the towns are 7 cm apart on the map, the actual distance on the ground will be 7 (distance on the map) multiplied by 500000 (scale of the map), i.e., 3500000 cm. Since there is 100000 cm in 1 km, you convert the distance to kilometers by dividing by 100000. Hence, the actual distance is 3500000/100000 = 35 km.
Learn more about Map Scale here:https://brainly.com/question/28822423
#SPJ2
Alex is adding square-foot tiles on the floor in his laundry room. If the space he wants to fill is 7 feet long and 6 feet wide, how many square-foot tiles will he need to fill the area?
A) 12 tiles
B) 26 tiles
C) 36 tiles
D) 42 tiles
1.Subtract
5/8 - 1/6
Express your answer in simplest form.
2.Subtract
6/7 - 3/5
A. 3/12
B. 9/35
C. 3/7
D. 3/35
3. Add
5 3/8 + 4 1/4
4. Add
2 5/6 + 3 3/4
Express your answer in simplest form
5. Subtract
3 1/4 - 1 5/8
Please Help ASAP I have to get the done before 10:00
Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3