Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 50700(1 + 0.08)^t[/tex]
[tex]A(t) = 50700(1.08)^t[/tex]
After 11 years, the cost will be given by:
[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]
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Evaluate n2-m; use m=7, and n=8
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
(8)*2-7
16-7
9
Make sure to follow PEMDAS!
How to solve 4x-8y=-3, -10x+20y=12 using method of elimination
Answer:
Inconsistent System
Step-by-step explanation:
What is the slope of the line?
Answer:
See below.
Step-by-step explanation:
(2,1),(7,4)
4-1=3
7-2=5
3/5 is the slope.
-hope it helps
Answer:
slope = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2,1) and (x₂, y₂ ) = (7, 4) ← 2 points on the line
m = [tex]\frac{4-1}{7-2}[/tex] = [tex]\frac{3}{5}[/tex]
130/240 in its simplest form
Answer:
13/24
Step-by-step explanation:
divide both sides by 10.
pls mark brainliest
Answer:
13/24
Divide the numbers by 10.
[tex]\frac{130/10}{240/10} = \frac{13}{24}[/tex]
With that information, the answer is 13/24.
Eden has a part time job. She gets paid £7. 20 per hourthis week she worked for 18 1/2 hourswork out Eden's total pay for this week
Answer:
$133.20
Step-by-step explanation:
Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.
1. Multiply 7.20 by 18 to get 129.60
2. Multiply 0.50 by 7.20 to get 3.60.
3. Add 129.60 and 3.60 together to get the answer, 133.20.
Carmen deposits $4000 into a simple interest account. The interest rate for the account is 4.25%.
Write a function that represents the balance in the account as a function of time t.
answer : f(t) = 4000 + 170t
f(t) = principal + (principal multiplied by interest rate) multiplied by time
f(t) = 4000 + (4000*.0425)t
f(t) = 4000 + 170t
t = number of years
======================================================
Explanation:
We use the simple interest formula which is
i = P*r*t
where in this case,
P = 4000 = amount deposited aka principalr = 0.0425 = decimal form of the 4.25% annual interest ratet = unknown number of yearsWe then get the following
i = P*r*t
i = 4000*0.0425*t
i = 170t
Showing that the amount of simple interest earned is 170 times that of the number of years.
For instance, if Carmen waits t = 10 years, then she earns i = 170*t = 170*10 = 1700 dollars in interest alone.
The expression 170t is the interest only. Add on the original amount deposited to find the total account balance after t years. Therefore, we arrive at 170t+4000 to get the linear function f(t) = 170t+4000
The 170 acts like the slope while the 4000 is the y intercept.
please
work out
∛15.76 - 4.6³ ÷2.5/3
Answer:
-10.47413972 or -10.47
Step-by-step explanation:
Calculator
Answer:
-10.47 is the answer
Step-by-step explanation:
Calculator
The water level, w, in feet, of a river after a rainstorm is a function of the time, t,
,
in hours, since the storm began. The table below shows the water level readings collected at different times
Choose the linear function that models the data in the table.
The water level in the river is an illustration of a linear function
The linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]
How to determine the equation of the water level?From the complete question, we have the following table:
t w
1 18.7
1.5 19.1
Start by calculating the slope (m)
[tex]m = \frac{w_2 - w_1}{t_2 -t_1}[/tex]
This gives
[tex]m = \frac{19.1 - 18.7}{1.5 - 1}[/tex]
Evaluate
[tex]m = 0.8[/tex]
The equation is then calculated as:
[tex]w = m(t - t_1) + w_1[/tex]
So, we have:
[tex]w = 0.8(t - 1) +18.7[/tex]
Expand
[tex]w = 0.8t - 0.8 +18.7[/tex]
[tex]w = 0.8t + 17.9[/tex]
Hence, the linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]
Read more about linear functions at:
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find the value of x.
A. 1
B. 5
C. 7
D. 8
Answer:
x is equal to 5
Step-by-step explanation:
78 = 12x + 18
12x + 18 = 78
12x = 78 - 18
12x = 60
x = 60/12
x = 5
btw i made 78 equal to 12x + 18 because it is parallel. they both equal the same (i think its called parallel. idrk)
X is equal to 5
78=12x+18
12x=78-18
12x=60
X=60/12
X=5
A hummingbird’s egg weigh 0.013 ounce. Express this as a fraction in simplest form.
Answer:
13/1000
Step-by-step explanation
13/1000 is its simplest form.
richard built a model of a ferris wheel the model has a height of 18 cm the actual ferris wheel has a height of 72m what scale factor did richard use for the model
Answer:
1:400
Step-by-step explanation:
1 m = 100 cm
72 m = 7200 cm
Ratio of model size to real size
18 cm : 7200 cm
Divide both numbers by 18.
1 cm : 400 cm
Divide both sides by cm.
1:400
A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal?
Answer:
D) 45 ounces for $4.50
Step-by-step explanation:
You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.
A) 32 ounces for $4.00
$0.13 for 1 ounce
B) 60 ounces for $6.75
$0.11 for 1 ounce
C) 48 ounces for $5.00
$0.11 for 1 ounce
D) 45 ounces for $4.50
$0.10 for 1 ounce
The best choice will be option D. That is 45 ounces for $4.50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.
A) 32 ounces for $4.00
$0.13 for 1 ounce
B) 60 ounces for $6.75
$0.11 for 1 ounce
C) 48 ounces for $5.00
$0.11 for 1 ounce
D) 45 ounces for $4.50
$0.10 for 1 ounce
The complete question is given below.
A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost
Group of answer choices
32 ounces for $4.00
60 ounces for $6.75
48 ounces for $5.00
45 ounces for $4.50
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11) Arjun was planning a trip to China.
Before going, he did some research and
learned that the exchange rate is 8 Yuan to
$1. How many Yuan would he get if he
exchanged $2?
Help
Answer:
16yuan
Step-by-step explanation:
1$=8Y
so,2$=2x8Y
or 2$=16Y
what is the slope of the line that passes through the point of (5,6),(5,9)?In simplest form.
Answer:3/0=undefined
Step-by-step explanation:(5/6) and (5,9)
Slope: 9-6 = 3
5-5 = 0
Eli measures the length of a painted stripe on one wall of his room. The stripe is 1012 feet long. He wants to mark sections on the stripe that are each 78 feet long.
How many sections will be marked on the stripe?
(It says high school but it’s middle)
Answer:
im pretty sure its 12
Step-by-step explanation:
you have to do 1012 divided by 78 and you get 12.97, but since he wants them to all be 78 feet long, it cant be 13.
The lines are parallel. Find x.
Answer:
As the lines are parallel, it shows that the two lines form 180° because they are angles on the same side of the transversal. A transversal is a line that bisects two lines.
Here,
(20x + 5)° + (24x - 1)° = 180°
=> (20x + 24x)° + (5 + (-1) )° = 180°
=> 44x° + 4° = 180°
=> 44x = (180 - 4)°
=> x = 176 / 44
=> x = 4
Therefore, x = 4 is the solution of the equation.
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
x=4
Step-by-step explanation:
1 11 2,*÷;£$;$£÷,£$,$£?$*$;
In Fig. 7.2, a find the value of y when x = -2-5,
Answer:
Given equation: y = x² + 2x - 3
If you wish to find the values of y when x = -2 and x = -5:
When x = -2:
⇒ y = (-2)² + 2(-2) - 3
⇒ y = 4 - 4 - 3
⇒ y = -3
When x = -5:
⇒ y = (-5)² + 2(-5) - 3
⇒ y = 25 - 10 - 3
⇒ y = 12
If you wish to find the value of y when x = -2-5:
When x = -2-5 ⇒ x = -7
⇒ y = (-7)² + 2(-7) - 3
⇒ y = 49 - 14 - 3
⇒ y = 32
Answer:
y = 32
Step-by-step explanation:
Given :-
y = x² + 2x - 3
x = -2-5 = -7
To Find :-
y
Inputting the value of x :
y = (-7)² + 2(-7) - 3
y = 49 - 17
Solution :-
y = 32
45% discount off of $700
Original:
Discount:
New price
Pls help me
Answer:
original = $700
discount = $315
new price= $385
Step-by-step explanation:
45% of $700 is $315
$700-$315=$385
Basic Properties of Angles
Measure the angle in degrees.
120-
130
07
140-
Og
OZ
1504
160-
OT
70-
180
The angle measure is
3 gallons = _______ quarts
A.8
B.16
C.4
D.12
Answer:
D. 12
thats your answer.
have a nice day!
Please can someone help me with this.
y^2 - 2y when y=6
Answer:
See below.
Step-by-step explanation:
y^2-2y
6^2-2(6)
36-12
24
-hope it helps
which is the greatest value A.two and hundredhs B.two and five thousandths C.two and five tenths
Answer:
Two and hundredths
Step-by-step explanation: I'm in college so I think I am capable of answering a middle school question thank you very much, and make sure to mar me brainliest.
why is the length of segment BD is the same as the length of segment AB ?
Any point on the outside edge of a circle from the center of a circle would be the radius, which would be the same distance all the way around. The outer edge of the larger circle goes through the dot labeled B, which is the center of the smaller circle, therefore any distance from B to the outer edge would be the same.
The length of segment BD is the same as the length of segment AB because any distance from B to the outer edge would be the same.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
Any point on the outside edge of a circle from the center of a circle will be the radius, which would be the same distance all the way around.
The outer edge of the larger circle goes through the dot labeled B, which means the center of the smaller circle.
Therefore any distance from B to the outer edge would be the same.
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If a town has 64 voters and 5/8 of them choose to vote in an election, how many voters choose
not to vote in the election?
A 32 voters
B 24 voters
C 40 voters
D 28 voters
Answer:
40 voters
Step-by-step explanation:
64/8=8
8×5=40
Answer:
24
Step-by-step explanation:
5/8 of 64 = 40
64 - 40 =24
(18,15),(16,-6) what the answer to this problem
Answer:
whats the question? not enough info
The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s test score was 72, which expression would she write to find the z-score of her test score?.
Using the normal distribution, we got that expression for the z-score of her test score is
[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]
What is Normal Probability Distribution?it's a type of probability distribution which is symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.
Given that mean =[tex]\mu=79[/tex]
and standard deviation =[tex]\sigma = 7[/tex]
X=73
we know that formula of z-score is
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Hence Z-score can be calculated as
[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]
Using the normal distribution, we got that expression for the z-score of her test score is
[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]
To learn more about the normal distribution visit : brainly.com/question/24663213
Answer:
72-29/7
Step-by-step explanation: i just took the test it's A
can someone help me it’s very urgent due soon!
Answer:
c
Step-by-step explanation:
Answer: I think A but im not 100% sure
Step-by-step explanation:
sorry if i let you down...
A car drives 60 mph. Write and solve an eqaution to find the number of hours it takes the car to travel 360 miles.
Answer:
6 hours
Step-by-step explanation:
Let's highlight/bold some important terms.
A car drives 60 mph. Write and solve an eqaution to find the number of hours it takes the car to travel 360 miles.
So we know Speed multiplied by Time is equal to distance, or commonly known as;
S · T = D
So since we know this, we can substitute the values for the variables.
We know the mph is 60. And that's our speed.
The equation is now 60 · T = D
We know that the total distance the car needs to cover is 360.
The equation is now 60 · T = 360
Now we need to find the time it took.
We divide 360/60 to find out the total number of hours it took, and we get 6.
So the answer is that it took 6 hours to travel 360 miles with a speed of 60 mph.
Answer:
6 hours
Step-by-step explanation:
At the beginning of a snowstorm, Brianna had 2 inches of snow on her lawn . The snow began to fall at a constant rate of 2.5 inches per hour. Assuming no snow was melting, how much snow would Brianna have on her lawn 2 hours after the snow began to fall ? How much would Brianna have on her lawn after t hours of snow falling ?
Snow on lawn after 2 hours ?
Snow on her lawn after t hours ?
Answer:
2.11 inches long and 2.11 inches wide
Find a whole number $a$ such that the numbers $\frac{2}{a}$ , $\frac{a}{8}$ , and $63\%$ are in order from least to greatest
If 2/a, a/8, and 63% = 63/100 are in numerical order, then
2/a < a/8 < 63/100
Multiply each "side" of the inequality by 8a :
16 < a² < 126a/25
a has to be a whole number, and since 4² = 16, we must have at least a ≥ 5.
Divide through by a :
16/a < a < 126/25 = 5 + 1/25
Then at most, a ≤ 5.
So, both a ≥ 5 and a ≤ 5, which means a = 5.
Just to check that the list is in order, we have
2/a = 2/5 = 0.4
a/8 = 5/8 = 0.625
and 0.4 < 0.625 < 0.63.