Answer:
[tex]f(t)= 27000 * 0.965^t[/tex]
Step-by-step explanation:
Given
[tex]a = 27000[/tex] -- initial
[tex]r = 3.5\%[/tex]
Required
The exponential equation
The exponential equation is
[tex]y =ab^t[/tex]
Where
[tex]b=1 -r[/tex]
We used minus, because the rate decreases..
So, we have:
[tex]b=1 -3.5\%[/tex]
[tex]b=1 -0.035[/tex]
[tex]b=0.965[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 27000 * 0.965^t[/tex]
Hence:
[tex]f(t)= 27000 * 0.965^t[/tex]
A jet flies at an altitude of 43,280 feet. What is the height of the jet in miles?
Answer:
about 8 miles
Step-by-step explanation:
There are 5280 ft in a mile, so divide the number of miles by that:
43,280/5,280 = 8.196 . . .
≈ 8
Simplify the following polynomial expression.
(534 – 933 + 73 – 1) + (-804 + 4.12 – 3x + 2) - (-413 + 51 – 1)(21 – 7)
OA. 504 – 3723 - 612 + 411 - 8
OB. 524 – 3723 - 6x2 + 411 - 6
OC. 11,4 – 21.13 + 14x2 + 331 - 6
OD. 11,4 – 2113 + 14.2 + 33.3 - 8
Answer:
This equals:
3949.12
Letter C is the closest since all the rest of the letters eqaul negative sums and C is the only one that's positive.
Step-by-step explanation:
If the Volume of a Cylinder is 287 and the radius is 5, what is the height "h"?
Round your answer to the nearest tenth if needed.
Answer:
3.7 is the height
Step-by-step explanation:
so the volume is 287 radius is 5 . The formula Volume = base area x height which we come to equate 287 =3.142x5x5 to get 287 divides by 78.55 answers round off to the nearest tenths 3.653 round off 3.7
Micah and his brother found some cash at
a bus stop. They split the money evenly, each
getting $ 16. How much money did they find?
m
Answer:
32
Step-by-step explanation:
Add 16 + 16
Find the surface area of the cylinder. ROUND YOUR ANSWER TO THE NEAREST TENTH. PLEASE I NEED HELP also if anyone can I need the steps:(
Answer:
Area = 87.96
Step-by-step explanation:
5 Solve the equation sin 2x = 2 cos 2x, for 0°<x< 180°
Answer:
Step-by-step explanation:
plot | 2 x = 2 cos(2 x) | x = 0 ° to 180 °
help...........................
Answer:
1.54
Step-by-step explanation:
The problem asks for the absolute value of -1.54. Absolute value refers to the magnitude of a number regardless of its sign, so the negative sign is dropped.
Can someone please answer this
Answer:
sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day
Step-by-step explanation:
Need the answer fast question is on the problem will mark brainliest
NO LINKS PLEASE
Can someone please help me I will give you brainleist but please don’t put no links
Answer:
You already have the needed numbers to find the area for each rectangle.
Step-by-step explanation:
You have to find the area for the needed triangles by multiplying the width by length.
a car company uae the symbol shown below for their logo. if the inside space of the logo is a rhombus,what is the length of FJ?
Answer:
F has a new version of this book that is designed for the same as if you can use it to get a yellow one
Find the range for the set of data: 22, 25, 25, 27, 32
Answer: Range for set is 10
Hope this help!
4, 2, 1, 2, ...
O Arithmetic
O Geometric
O Neither
Answer:
Step-by-step explanation:
Neither...there is no common difference nor a cmon ratio do neither
I need help please
Please hurry
Answer:
Its 32
Step-by-step explanation:
This data shows the number of sit-ups done by 27 students in a gym class.
58 62 49 52 75 86 88 54 56 61 85 48 77 60
47 58 62 73 78 69 65 84 59 67 53 84 50
Which histogram represents the data?
Answer:
C
Step-by-step explanation:
Answer:
The Answer is C
Step-by-step explanation:
There are three 40s and eight 50s none of the others have these
Janice Davidson, single mother of two in her late 20s, manages an in-store boutique at Lacy's Department Store. She earns $60,000 a year before taxes (her gross income) and pays 20% in taxes. Janice's fixed monthly living expenses are $2,400 with another $1,600 in variable/discretionary living expenses. Janice has $13,000 in emergency savings. Janice has an employer-paid disability benefit through the department store where she works. Lacy's provides its employees a long-term disability insurance benefit that pays 60% of an employee's gross salary up to a maximum of $5,000 a month. Would a policy that pays 40% of her gross salary provide enough income to cover Janice's fixed monthly expenses if she became disabled and couldn't work? If yes, how much could she set aside each month after fixed expenses are paid? If no, how much of a shortfall would she have and how could she cover it?
Answer:
No, her savings
Step-by-step explanation:
Her monthly income is 5000 (60000/12). She pays $1000 per month (5000x.2) in taxes and has another 2400 in fixed expenses. So her monthly fixed expenses (don’t include 1600 variable) are 3400 (1000+2400). A disability benefit of 40% would pay $2000 per month (5000 x .4). S0 she would be short 1400 per month (2000-3400). She would have to use her $13,000 in savings to make up the difference.
hopefully I interpreted the questions correctly!
a) 40% policy will not cover Janice's fixed monthly expenses.
b) Janice's shortfall is $400.
c) For the shortfall, Janice may resort to emergency funds.
What is a fixed monthly living expense?A fixed monthly living expense is an expense that does not change from period to period.
Examples of fixed monthly living expenses include:
Mortgage paymentsUtility billsLoan payments.Data and Calculations:Annual gross income = $60,000
Annual tax liability = 20% or $12,000 ($60,000 x 20%)
Fixed monthly living expenses = $2,400
Annual fixed living expenses = $28,800 ($2,400 x 12)
Variable discretionary living expenses = $19,200 ($1,600 x 12)
Emergency savings = $13,000
A policy that pays 40% as the disability allowance of gross salary will pay $2,000 ($5,000 x 40%).
Learn more about fixed and variable monthly expenses at https://brainly.com/question/8225307
Can you help I’m in middle school and cant get this!
what is the definition of corresponding sides
Answer:
Corresponding sides touch the same two angle pairs.
Step-by-step explanation:
Answer:
In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.
When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
Here is an expression:3.2t solve the equation when t=4
Answer:
3.2 x 4 = 12.8
therefore your answer will be 12.8
Help. Lol 6th grade math.
Answer:
The first one is howard and the second one is peter
Step-by-step explanation:
Howard is at a higher elevation because he is above the sea level.
Peter is further from sea level because he is 1.1 meters away, whereas Howard is only 0.8 meters away.
Answer:
the first on is howerd
number two is peter
Step-by-step explanation:
A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?
Answer:
i dont know the answer either
Step-by-step explanation:
thanks
Are these ratios equivalent?
1 newspaper every 4 days
3 newspapers every 12 days
Pls help put in order 1,2,3,4,5,6,7,8,9,10 I will give brainlyest
Answer:
A
Step-by-step explanation:
Area of parallelogram=b×h
24=b×4
b=6inches
helppppppp will give BRAINLIEST!!!
Answer:
c
Step-by-step explanation:
range is the largest -the smallest
median is the line between 9 and 10
first quartile is on 6
I’m working on these as well! Hope this helps! Happy Friday! <3
Answer:
Should be the 3rd quartile.
Step-by-step
Because the first quartile ends at 10.5, because of the line, I believe, and 18 is past 11. So, it should be the 3rd quartile.
5 (y+2/5)= -13 what is y with explanation
Answer:
Y= -3
Step-by-step explanation:
Step 1- 5y+2=-13 [move constant to the right]
Step 2- 5y=-13-2 [Calculate]
Step 3- 5y=-15 [Divide both sides]
And with doing these steps you'll end up with the answer Y= -3
How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius
Answer:= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
Step-by-step explanation:
consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r
Pls help it is khan academy :)
Answer:
4x-12
Step-by-step explanation:
what is the value of A when we rewrite (32/5)^-2x as A^x
Answer:
[tex](\dfrac{25}{1024})^x[/tex]
Step-by-step explanation:
The given expression is :
[tex](\dfrac{32}{5})^{-2x}[/tex]
We need to rewrite it in the form of [tex]A^x[/tex].
We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]
So,
[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]
So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.
Answer: A = (32/5)^-2
Step-by-step explanation:
There are 15 boys in the class of 40 learners. What is the ratio of boys to girls in the classroom????
Answer:
So I guess in this case we assume there are no nonbinary or genderqueer kids in the class
boys would be 15
girls would be 25
the simplified ratio would be 3/5
f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.