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
Write an equation in slope intercept form for a
line that passes through (8,-3) and has a slope
of
2/3
9514 1404 393
Answer:
y = 2/3x -25/3
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx
Using the given values for x, y, and m, we find the intercept to be ...
b = -3 -2/3(8) = (-9 -16)/3 = -25/3
Then the equation of the line is ...
y = 2/3x -25/3
There are three sizes of pizza, three of crust, and ten toppings. If you Order one size, one type of crust, and one topping, how many pizza choices are there?
What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74
The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
A similar problem is given at https://brainly.com/question/20709747
what is 160% of 80kg
Answer:
128kg
Step-by-step explanation:
I don't know how to explain it here the answer
Answer:
128
Step-by-step explanation:
160%=1.60
1.60*80=128
The measure of angle CFD is The measure of angle CDF is The measure of angle AFB is The measure of angle BFD is The measure of angle ABC is
Answer:
∠CDF = 23° , ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°
Step-by-step explanation:
m∠CDF = 180 - m∠CDE
m∠CDF = 180 - 157
m∠CDF = 23°
m∠CFD = 180 - ( m∠DCF + m∠CDF )
m∠CFD = 180 - ( 42 + 23 )
m∠CFD = 115°
m∠AFB = m∠CFD (Vertically opposite angles)
m∠AFB = 115°
m∠BFD = 180 - m∠CFD
m∠BFD = 180 - 115
m∠BFD = 65°
∠ABC
Solution 1:
m∠ABC = m∠DCF (Alternate angles)
m∠ABC = 42°
Solution 2:
In ΔAFB
m∠FAB = m∠CDF (Alternate angles)
m∠FAB = 23°
m∠ABC = 180 - ( m∠AFB + m∠FAB )
m∠ABC = 180 - ( 115 + 23 )
m∠ABC = 42°
Plz help I need help
Answer:
The ratios are proportional ratios
Answer:
Step-by-step explanation:
The ratios are proportional
[tex]\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}[/tex]
530÷34= ? Write answer as a whole number and remainder.
Answer:
15 with a remainder of 20
Step-by-step explanation:
hope it helps :)
Answer:
168 and the remainder is 7
Step-by-step explanation:
if is wrong i'm sorry
The total length of two ships is 2321 feet. The difference in their lengths is 17 feet. Find the length of each ship. If a football field has a length of 100 yards, determine the length of the longer ship in terms of number of football fields.
The length of the longer ship in terms of number of football fields is;
4 football fields
Let the length of ship 1 be x
Let the length of ship 2 be y
Total length of both ships is 2321 ft
Thus;
x + y = 2321 ----(eq 1)
The difference in their lengths is 17 ft
Thus;
x - y = 17 ----(eq 2)
Add eq 1 to eq 2 to get;
2x = 2338
Thus; x = 2338/2
x = 1169 ft
Put 1169 for x in eq 1 to get;
1169 + y = 2321
y = 2321 - 1169
y = 1152 ft
Longer ship = 1169 ft long
From conversion tables;
1 ft = 1/3 yards
Thus; 1169 ft = 1169 * 1/3 = 389.67 yards
A football field has a length of 100 yards
Then number of football fields for the length of the longer ship = 389.67/100 = 3.8967 ≈ 4 football fields.
Read more at; https://brainly.com/question/21804970
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
Solution:Let the age of Tiffany be x years.Then, the age of Emily = 4x years.After 10 years, the age of Tiffany will be (x+10) years.After 10 years, the age of Emily will be (4x+10) years.Therefore, by the problem
[tex]4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5[/tex]
So, Tiffany's present age = 5 years.Emily's present age = (4×5) years = 20 years.Answer:Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
Tristan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Tristan is riding for 9 miles? How much would a taxi ride cost that is mm miles long?
Answer:
$ 16.50
y = 1.50m + 3
Step-by-step explanation:
1.50(9) + 3 = $16.50
Rewrite 9 x 7 =675 using distributive property
Rewrite 6 x 4 x 5 = 120 using the commutative property
Hurry! Will reward brainliest to first person who answers!
Answer:
9(7)= 675
4·6·5= 120
Step-by-step explanation:
Hope this helps! :0
-6.4x + 3.5y = 7? what is the slope
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5
I need the answer ASAP
Answer:
It would be 120 inches squared.
Step-by-step explanation:
12 x 8 = 96
6 x 4 = 24 / 2 = 12
12 x 2 = 24
96 + 24 = 120 inches squared
Answer: 80 in 2 cm
Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.
solve pls brainliest
Step-by-step explanation:
-185-2004=-2189///2189ft lower
-185+469=284
(I think I did this once)
clause: if 0>1 then 0>0
Step-by-step explanation:
false
0 can't he greater then any integer.
Solve x2+12x=82 using completing the square. Answer the questions below.
Answer:
exact form : x = ± √ 118 − 6
Decimal form : x = 4.86278049 or − 16.86278049
Step-by-step explanation:
Use the formula ( b /2 ) ^2 in order to create a new term. Solve for x by using this term to complete the square.
Correct answer gets brainiest
Answer:
[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]
(12c(5th power)) x 3c(4th power)
How do we simplify this equation?
Answer:
You can combine the powers and bases to get 36c^9
Step-by-step explanation:
12*3=36
Rule of exponents= n^m*m^n is (n*m)^m+n
Hope this helps.
I also need help with this one.
Answer:
(0, 2)
Step-by-step explanation:
The x-coordinate is 0 because the y-intercept is where the line crosses the x-axis. The y-intercept is the number on its own in the equation (in the form y = mx + c)
Hope this helps!
I need it asap fast and I give brainliest to a right answer.
Answer:
hiik
Step-by-step explanation:
rvnlgsudffstdrestdftuisffjhigyhoffyxhcccdfidsudjifg
Joseph takes his little brother to the local frozen yogurt shop. he doesn't want his brother to spoil his dinner, so he can get no more than three ounces bought. the function consists only of the ordered pairs (0, 0.35), (1,1.35), (2,2.35) and (3,3.35) what is the domain and range of the function?
Answer:
Domain: (0,1,23)
Range: (0.35,1.35,2.35)
Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.
help please i will give brainliest ^^;;
Answer:
The slope for number 4 is 5/-4 and for number 6 is 4/1
Step-by-step explanation:
5/-4: slope is rise over run so you have to go up (positive) 5 and you have to go to the left (negative) so its 5/-4
4/1: again it's rise over run so you have to go up (positive) 4 and right one (positive)
Answer:
hello
are you army
who is your bias
90000 1000 + 7000 + 7 =
Answer:
900,008,007
Step-by-step explanation:
first add 90000,1000 +7000=900,008,000
then add 7 with 900,008,000
Answer =900,008,007
What is
(1/2)^2- 1/2 -6
.
Answer:
-6.25 tI am not sure if this can help you but this is what I got
Nick will apply for a business loan for his toy company. The loan officer asked Nick to determine the
company's current value and growth for the next few years. Nick projected a steady growth rate for his
toy business.
Is Nick's model linear or exponential? How do you
know?
Year Project Value
0 $25,000.00
1 $26,250.00
2 $27,562.50
3 $28,940.63
4 $30,387.66
5 $31,907.04
PLEASE HELP ME ✔️
Answer:
Dividing the current value by the previous value ALWAYS equals 1.05.
Since the growth rate is constant, it is linear.
Step-by-step explanation:
Answer:
ExponentialStep-by-step explanation:
The relationship is linear when the rate of change is constant. It means the sequence of the dependent variable forms an arithmetic sequence.
We see the the sequence of Projected Value is not arithmetic but geometric sequence with common ratio of 1.05.
It will have equation:
y = 25000*1.05ˣThis is therefore exponential.
(I'LL GIVE BRAINLIEST) Carson wanted to buy a cowboy hat that cost $49.95 (with tax) at a souvenir shop. He knew he had $18 at home already, and he could earn $10 per lawn by mowing lawns for his neighbors. He came up with the following expression to figure out how many lawns he would need to mow in order to purchase the hat: M = 10w + 18 with "w" being the number of lawns he would need to mow and "M" being the total amount of money he has.
Carson then determined he would need to mow 3 lawns by completing the follow steps:
50 = 10w + 18
32 = 10w
3.2 = w
Identify Carson's error. Explain the steps to correctly solve for how many lawns Carson needs to mow. Be sure to clearly state the correct answer.
Answer:
so Carson's problem was at the end, since the neighbors are paying 10$ PER DAY, and 3 days work would only earn him 30$ meaning at the end he would be a dollar short, technically, he needs to work exactly 3.2 days, or...
let's say he works 4 hrs a day
1 Day = 4Hr
3.2 Days = X
X = 3.2 × 4
= 12.8 Hrs
so Carson needs to work 3 days and an extra 48 Minutes
NO LINKS!!!
Absolute Value: y = |x|
Shape:
Domain:
Range:
Locater point:
Answer:
Given function:
y = |x|An absolute value function has a shape called V- shape.
Domain: All real numbers x ∈ { -∞, +∞)
Range: All numbers greater than the y- coordinate of the vertex
y ≥ 0 or y ∈ [0, +∞)
Locator point is the vertex which is at (0, 0)
7x3 how much???????????????????????????????????????
Answer: 21 is the answer
HELP HELP EASY
Use a calculator to approximate cos 43° and round to
four decimal places.
Answer:
0.731353701619170483287543608275622403378...
Step-by-step explanation:
cos((43 π)/180)
UwU
It's verified you can trust
0.7315Is what you needed