1. Hoang currently requires $1000 per week to maintain his lifestyle. Assuming inflation
averages 2% per year, how much will Hoang require per week to maintain his current
lifestyle in:
a. 10 years' time:
U..=1000
b. 20 years' time:
C. 30 years' time:
Using an exponential function, we have that:
a) In 10 years, the amount needed will be of $1,219 per week.
b) In 20 years, the amount needed will be of $1,486 per week.
c) In 30 years, the amount needed will be of $1,811 per week.
An increasing exponential function has the following format:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the rate of change, as a decimal.In this problem:
Currently requires $1000, thus [tex]A(0) = 1000[/tex].Inflation of 2% per year, thus [tex]r = 0.02[/tex]Then, his weekly amount needed is going to be given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 1000(1 + 0.02)^t[/tex]
[tex]A(t) = 1000(1.02)^t[/tex]
Item a:
In 10 years, we have that:
[tex]A(10) = 1000(1.02)^{10} = 1219[/tex]
In 10 years, the amount needed will be of $1,219 per week.
Item b:
In 20 years, we have that:
[tex]A(20) = 1000(1.02)^{20} = 1486[/tex]
In 20 years, the amount needed will be of $1,486 per week.
Item c:
In 30 years, we have that:
[tex]A(30) = 1000(1.02)^{30} = 1811[/tex]
In 30 years, the amount needed will be of $1,811 per week.
A similar problem is given at https://brainly.com/question/21942338
The soccer team raises $919.60 for new uniforms. If there are 20 players on the team, how much does each player get for a new uniform?
Answer:
10☺☺☺☺☺☺☺☺☺☺10 i think is 10
The graph of y=f(x) is shown.
Please answer, will mark BRAINELIST!
Answer:
attached
Step-by-step explanation:
Answer:
Turning point coordinates: (1,4)
Roots: -1, 3
y = - (x - 1)^2 + 4
Step-by-step explanation:
Which graph shows that ice cream sales increase when temperatures increase
Answer:
.hh
Step-by-step explanation:
jj
Answer:
B
Step-by-step explanation:
You can see the scatter plot increase as temperature increases
A city's population in the year x = 1990 was y = 2,201,900. In 1994 the population was 2,202,100. Compute the slope of the population growth (or decline)
Answer:
Slope is 50x (50/1)
Explanation:
let m = slope
m = (y2-y1)/(x2-x)
m = (2,202,100-2,201,900)/(1994-1990)
m = 50/1
m = 50
Help with this problem
Answer:
You should use AAS for this problem
Step-by-step explanation:
Maybe Brainliest Please
solve pls brainliest
Step-by-step explanation:
2715-1196=1519
-194+121=-73
Please i need urgent right answer
Answer:
260°Step-by-step explanation:
Find the missing angles:
m∠CDE = 360 - 312 = 48m∠DCG = 180 - m∠CDE = 180 - 48 = 132 Consecutive interior anglesm∠BCG = 180 - m∠BCG = 180 - 52 = 128 Consecutive interior anglesFind x:
x = m∠BCG + m∠DCG = 132 + 128 = 260°Mai spends 7 hours in school each day. Her lunch period is 30 minutes long, and she spends
a total of 42 minutes switching rooms between classes. The rest of her day is spent in 6 classes
that are all the same length. How long is each class?
Strategies Used:
A 11 hours
is
Box clue words,
numbers, & units
B 1 hours
Write the
expression or
с
hours
equation in
60
words
====
D
14 /
hours
Guess &
Check
so first of all we need to get rid of the time that isn't spent in class, because the question is asking about the time spent in class. so we would add 30+42 giving us 72 minutes, or 1 hour and 12 minutes. Now we can subtract 1 hour and 12 minutes from 7 hours to find the total time spent in class. Which would give us 5 hours and 48 minutes. (reminder; 60 minutes in 1 hour)
now that we have the total time spent in class, all that is left is division. The equation would be easier to solve when the hours are converted into minutes. 5 hours and 48 minutes equal, 348 minutes. Now we would divide 348 by 6 as there are 6 classes that take 348 minutes in all, and we wanna find how long 1 class takes. 348 divided by 6 would then give us 58. so each class takes 58 minutes.
(srry if the answer is wrong)
Big brainers
help me pls
Answer:
$36 each
Step-by-step explanation:
she paid $96 during a sale for 4 rose bushes
96÷4=24
so $24 per rose bush during the sale
it said that each one was $12 less than the original price
so 24+12=36
Approximate 650.385 to 1 decimal place
a shelf is 24 inches
Answer:
Step-by-step explanation:
can you help me pls
A textbook store sold a combined total of 288 history and psychology textbooks in a week. The number of history textbooks sold was two times the number of psychology textbooks sold. How many textbooks of each type were sold
Answer:
x=96 and y=192
Step-by-step explanation:
x+y=288 and 2x=y
plug y in and solve for x
x+2x=288
3x=288
x=96
plug x back in and solve for y
2(96)=y
y=192
Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.
0
negative square root of 2
the square root of 2
the square root of 2 over 2
Answer:
The square root of 2 over 2
Step-by-step explanation:
Please help, the question is in the photo
Answer:
38.3 miles per gallon
Step-by-step explanation:
if you divide the miles driven by the gallons used you get 38.3
689.4 / 18 = 38.3
1263.9 / 33 = 38.3
1570.3 / 41 = 38.3
3d + 5 where d=3 show work
Answer:
•Equation => 3d + 5
d = 3
3 x 3 + 5
9 + 5
14 = Answer
Hope it's helpful
Answer:
3d+5=9+5=14
Step-by-step explanation:
3(d)=3*3=9
D=3
+5=14, answer is 14
brainest?
5x-6<24
on a number line
Answer:
x<6
Step-by-step explanation:
5x-6<24
Add 6 to each side
5x-6+6<24+6
5x< 30
Divide each side by 5
5x/5 < 30/5
x < 6
There is an open circle at 6 and the line goes to the left.
Step-by-step explanation:
5x - 6 < 24
5x < 24 + 6
5x < 30
x < 6
[tex] \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}[/tex]
Solve the equation a = m - n for the variable n.
Answer:
n = m - a
Step-by-step explanation:
a = m - n
add n to both sides of the equation
a + n = m - n + n
a + n = m
subtract a from both sides of the equation
a - a + n = m - a
n = m - a
Answer:
n = a - m
Step-by-step explanation:
a = m - n
a - m = n
90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie. Altogether 3/5 of the people said Yes.
3/10 of the women said Yes.
What percentage of the men said No? (Show your working)
(THE ANSWER SHOULD BE 20% BUT HOW TO PROVE THAT????)
HELP ME PLEASE
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Hello Shakirullah25!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Calculate the values of the angles marked.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Refer to the attached picture.
Note :-180° - any angle = its linear pair (if they form a straight line). So, linear pairs are supplementary.Alternate interior angles are equal to each other.Vertically opposite angles are equal to each other.__________________
Answer :- The value of x specifically is 100° (refer to the attached picture for the steps).
__________________
Hope it'll help you!
ℓu¢αzz ッ
Amadou bought snacks for his team's practice. He bought a bag of chips for $1.71 and a 24-pack of juice bottles. The total cost before tax was $26.91. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Building and solving an equation, it is found that each bottle of juice costs $1.05.
Her total cost of $26.91 is composed by:
A bag of chips that cost $1.71.24 juice bottles, each costing j.Hence, the equation is:
[tex]1.71 + 24j = 26.91[/tex]
Solving it, we find the cost of a bottle of juice, hence:
[tex]1.71 + 24j = 26.91[/tex]
[tex]24j = 25.2[/tex]
[tex]j = \frac{25.2}{24}[/tex]
[tex]j = 1.05[/tex]
Each bottle of juice costs $1.05.
A similar problem is given at https://brainly.com/question/24812278
By which rule are these triangles congruent?
AAS
ASA
SAS
SSS
SSS
Two pairs of sides have already been marked congurent. The third side is shared by the two triangles, so it must be congruent with itself.
You have three congruent sides: SSS
Tom purchased international calling cards before traveling abroad. He bought a 60-minute card for $9.99, a 90-minute card for $14.29, a 100-minute card for $17.99, and a 200-minute card for $29.49. After using all of his calling cards, Tom used his mobile phone for 38 minutes at a rate of $2.99/minute.
The amount spent on calls per minute is an illustration of unit rates.
The amount spent on the 38-minute call is $113.62
The given parameters are:
[tex]\mathbf{Rate = \$2.99/minute}[/tex]
[tex]\mathbf{Time = 38\ minutes}\\[/tex]
So, the amount spent on call is:
[tex]\mathbf{Amount = Rate \times Time}[/tex]
This gives
[tex]\mathbf{Amount = \$2.99/minute \times 38\ minutes}[/tex]
Cancel out minutes
[tex]\mathbf{Amount = \$2.99 \times 38}[/tex]
[tex]\mathbf{Amount = \$113.62}[/tex]
Hence, the amount spent on the 38-minute call is $113.62
Read more about unit rates at:
https://brainly.com/question/18065083
Pls help ASAP I don’t get it
Look at the picture attached down here. You can see the Venn Diagram fully completed. As you can see the brown part is the empty loop. And this is because the list of numbers given do not share 4 and 9 (6 excluded) as common multiples.
The numbers outside the circles are numbers that are not multiples of 4 or 9 or 6. It's 371 and 79. By the way, 79 is a prime number, so it's only divisors are itself and 1. 371 is not a prime number, it is divisible by 1, 7, 53, 371.
Good luck
Help please thank you
Maya is wrong, C is the correct answer
explanations:
92800000000 to scientific notation
= 9.28×10¹¹
Mercury is 6.08×10¹⁰
Now both of them combined,
9.28×10¹¹ + 6.08×10¹⁰
= 9.888×10¹¹
Does anybody know this question
Answer:
13h
Step-by-step explanation:
A = LW
A = 13 cm * h cm
A = 13h cm^2
We know that two sides of the rectangle are 13cm. To find the area, we need to find h. It looks like h is 1/3 of the longer side, so 13 divided by 1/3 is 4.3. 13 times 4.3 is 55.9cm. I hope this helps!
Determine the axis of symmetry of a parabola whose graph is given below. Give your answer in the form X equals H
Answer:
x = -3
Step-by-step explanation:
The axis of symmetry of a parabola, in the form of x = h is x = -3, where the value of h is -3.
A surface curve formed by the intersection of a cone and a plane parallel to a straight line is called as parabola.
An imaginary straight line that divides a shape into two identical halves is called as axis of symmetry.
In the given figure, the graph intersects the x-axis at x = -3.
So, the axis of symmetry of a parabola in the form of x is -3.
Thus, the value of h is -3.
Learn more about parabola here:
https://brainly.com/question/32449104
#SPJ4
fill in the table using this function rule. y=-10x+3
Answer:
-1 = -8
0 = 3
1 = 13
5 = 53
Step-by-step explanation:
-1 times 10 is -11
-11 plus 3 = 8
Seventeen million four thousand
Answer:
17,004,000
Step-by-step explanation:
Seventeen million four thousand
17,004,000
Answer:
17,004,000
in number form
Step-by-step explanation:
i'd appreciate it if youd give me brainly
have a fangtastic day <3
How do you solve 4 over 5 times 3.75
Answer:
3
Step-by-step explanation:
First of all simplify 4/5 to .8
Then Multiply: .8*3.75=3
9514 1404 393
Answer:
4/5×3.75 = 3
Step-by-step explanation:
There are many solution strategies available. Among them are ...
use a calculator to find 4/5×3.75 = 3convert the numbers to decimal and multiply by hand 0.8×3.75 = 3.000compute 2(2×3.75)/5 = 2(7.5)/5 = 15/5 = 3 in your headconvert 3.75 to an improper fraction and multiply (4/5)(15/4)=15/5=3__
Additional comment
The mental arithmetic involved in adding a number to itself (doubling a number) is usually pretty easy. This means it is relatively easy to multiply by powers of 2, such as 4, 8, or 16. The second strategy listed above can be done in your head as ...
8/10×3.75 = 2×(2×(2×3.75))/10 = 2×(2×7.5)/10 = 2×15/10 = 30/10 = 3
The same product can be found as ...
8/10×3.75 = 8×(3.75/10) = 8×0.375 = 8×(3/8) = 3
In all cases, it is helpful to know your times tables, decimal equivalents of common fractions, and a few shortcut strategies for mental arithmetic. These are not difficult, but they do require you put some effort into memorizing them.