Applying the points given, it is found that the growth rate of the exponential function is:
c. 50%
An exponential function has the following format:
[tex]y = a(1 + r)^x[/tex]
In which:
a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.In this problem:
The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.[tex]y = a(1 + r)^x[/tex]
[tex]75 = 15(1 + r)^4[/tex]
[tex](1 + r)^4 = 5[/tex]
[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]
[tex]1 + r = 1.4953[/tex]
[tex]r = 1.4953 - 1[/tex]
[tex]r = 0.4953[/tex]
Thus, approximately 50%, option c.
A similar problem is given at https://brainly.com/question/23416643
Answer:
50% is the correct answer
Step-by-step explanation:
I took the test.
easy one - giving brainly if correct!
Answer:
option 4 is the right answer
Answer:
The last option is right
Which of the following ratios are equivalent to the ratio 4: 8?
Answer:
11:22,8:16,9:18...…Step-by-step explanation:
All of the given above are same as 4: 8. because the answer of all is 1 : 2.
Anna Page, a teacher, earns $1.320 semimonthly. If the school's insurance plan costs a total of
$2,868 and it pays 75 percent of the cost, how much is deducted from each of Page's
paychecks?
Do Hors senderized Meta RecticeMelvin divers, a traveling salesman, has company medical
this
insurance as well as travel insurance. The company he works for pays 60 percent of the
medical insurance and 90 percent of the travel insurance. If the medical insurance has an
annual cost of $3,500 and the travel insurance costs $1,200 per year, what total amount is
deducted from his weekly paycheck for insurance?
A. $2923 B.-561.15 G365 D. 59.04
(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.
(b) The amount deducted per week is option A, $29.23.
(a) Given that:
The amount earned by Page semimonthly = $1320
Total cost for the insurance plan = $2868
The school pays 75 per cent of the cost.
The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.
The amount deducted from the paycheck of Page is:
A = 25% × $2868
= $717
(b) Given that:
The annual cost of medical insurance = $3500
The percentage of this insurance he has to pay = 100% - 60% = 40%.
Annual deduction from his paycheck = 40% × 3500
= $1400
The annual cost of travel insurance = $1200
The percentage of this insurance he has to pay = 100% - 90% = 10%.
Annual deduction from his paycheck = 10% × 1200
= $120
Total amount deducted per year = $1400 + $120
= $1520
Number of weeks in a year = 52 weeks
The amount deducted per week = [tex]\frac{1520}{52}[/tex]
= [tex]$29.23[/tex]
Hence, the correct option is A. $29.23.
Learn more about Percentage here :
https://brainly.com/question/14953910
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The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?
Step-by-step explanation:
[tex]\frac{men}{women} =\frac{6}{5}[/tex]
If there are 5 women = 6 men
If there are 5(13) women = 6(13) men
If there are 65 women = 78 men
So there are 65 + 78 = 143 employees.
please give me a brainliest answer
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-2,3), (5, 5)
There isn't any graph example but I need help!!! i will award 10 brainiest
Answer:
Slope: 2/7
Step-by-step explanation:
y2 - y1/ x2 - x1 = 2/7
Free poi.nts but if you can figure this out:
We wish to send a message of size 150,000 bytes over the network. There are four hops, each of length 20 km and running at 100 Mb/s. However, before sending we split the message into 1500 byte packets. What is the end-to-end delay of the message? Use speed of light in copper c=2∗108 m/s, and round your answer to the nearest integer millisecond. (doubt ya'll will) - will give brainliest if you do
Answer:
hiiii how r u
Step-by-step explanation:
brainiest pleasee
i am never able to do these, their so confusing yet SO easy- please help!
Answer:
a) independent: area to be painted in sq ft
dependent: amount of paint needed in gallons
b) independent: amount of milligrams
dependent: amount of sleep
Step-by-step explanation:
Easy tip to remember that is almost always right:
Your X variable is always independent, and your Y variable is always dependent.
If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"
Which variable depends on your other variable? Would help you find your dependent variable.
It makes sense that, the number of paint you need depends on how much sq ft you are painting.
Answer:
a) Independent variable: x (area to be painted)
Dependent variable: y (amount of paint needed)
b) Independent variable: x (amount of medication)
Dependent variable: y (amount of sleep)
Step-by-step explanation:
Independent variables are variables that do not depend on other variables to determine their values.
Dependent variables are variables that depend on other variables to determine their values.
help me pls iam confused
Answer:
z=9.6
Step-by-step explanation:
Because you know 17 is one of the values in the model, you do:
65-17=48
Then, because you have 5 z values, you do:
48/5=9.6
z=9.6
GIVING BRAINLIEST TO CORRECT ANSWER
Answer:
[tex]3 \sqrt{2} [/tex]
Answer:
B = 3
Step-by-step explanation:
([tex]\sqrt{3}[/tex])([tex]\sqrt{6}[/tex]) = [tex]\sqrt{18}[/tex]
[tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex]
answer this pleaseeeeee ill give brainliest What is an equation of the line that passes through the points (-6, 3) and (-5, 2)?
Answer:
y-3=-1(x+6)
Step-by-step explanation:
I gotchu
brainliest tho?
9000 dollars is placed in an account with an interest rate of 8%. How much will be in the account after 17 years, to the nearest cent?
Answer:
$21,240
Step-by-step explanation:
8 percent *9000 =
(8:100)*9000 =
(8*9000):100 =
72000:100 = $720 per years of interest
720* 17
= 12,240
12,240+9,000
= 21,240
I need help pleaseeeee
Answer:
b
Step-by-step explanation:
5 5/16
Answer:
5 and 5/16
Step-by-step explanation:
Question 7 of 10
A compensation package is
A. health, life, and disability insurance
B. a gym membership paid for by the employer
C. a combination of wage or salary and other types of compensation
D. a combination of retirement and insurance
SUBMIT
Answer:
C. a combination of wage or salary other types of compensation
Step-by-step explanation:
A compensation package is synopsis/summary of all the ways a company can pay its employees. It can be indirectly or directly.
A store had 2 BLUE chairs for $22.78 or 6 RED chairs for $67.80.
Type in the rate for each color of chairs below. blue $_______ Red $_______
Which color chair has a lower unit price? ________
Answer:
Blue chairs
Step-by-step explanation:
To get the unit rate of red chairs, you simply divide 22.78/2, which equals $11.39
So the unit rate of RED chairs is $11.39
To get the unit rate of the blue chairs, you simply divide 67.80/6 which equals $11.30
So the unit rate of BLUE chairs is $11.30
Unit rate is simply the cost of one item (in this case chairs) the unit rate stays the same. If we flipped the operation on blue chairs and did 11.30*6, it equals $67.80. The same goes for the red chairs, if we did 11.39*2 it equals $22.78.
Hope this helps!
The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?
a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm
Answer:
12cm
Step-by-step explanation:
h = 2b + 4
Area = 168 cm²
b = ?
Area = b*h / 2
168 = b (2b + 4) / 2
168 = 2b² + 4b/ 2
168 = b² + 2b
b² + 2b - 168 = 0
(b + 14) (b - 12) = 0
b = -14
b = 12
The base of a triangle cannot be -ve. So b = 12cm
Find the missing length to the nearest tenth. Look at the shape.
Answer: [tex]4\sqrt{5}[/tex]/9.0
Step-by-step explanation:
Simple way: Pythagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
C being hypotenuse. A and B are bases that are interchangeable.
In this question, you are missing the hypotenuse.
a= 8, b=4 c=?
[tex]8^{2}+4^{2}=c^{2}[/tex]
[tex]64+16=c^{2}[/tex]
To get rid of [tex]c^{2}[/tex]. Square both sides.
[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]
[tex]\sqrt{80}=c[/tex]
Simplify [tex]\sqrt{80}[/tex]
[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]
or 9.0
JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a
ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)
Answer:
(8, - 10) or (0, 6)Step-by-step explanation:
There are two options as below.
1. JL/JK = 5 : 1
Find the coordinates of L:
x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10The point is L(8, - 10)
2. JL/JK = 1 : 5
Find the coordinates of L:
x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0y = 10 + 1/6(-14 - 10) = 10 - 4 = 6The point is L(0, 6)
v = u + wz, make z the subject
Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes.
Part A. How would you represent Andy’s descent as a unit rate ? Express your answer in an integer.
Part B.If he continues at this rate , where will Andy be in relation to sea level after 6 minutes?
Answer:
A. -4 feet per minute (FPM)
B. -24 feet below sea level.
Step-by-step explanation:
express each of the following rational as adecimal 3/25
Answer:
3/25 as a decimal is 0.12
Step-by-step explanation:
Give me an answer only
Answer:
Step-by-step explanation:
option 2
Answer:
The first choice
Step-by-step explanation:
-2 + 4(-5) = -2 + -20 = -22
-2 + 4(0) = -2
Can someone help me with this thank you
Answer:
4b
Step-by-step explanation:
when u add you don't add the exponents of the variable.
when you multiy you add the exponents and put the variable. it would be 4b^4 if you were multiplying but ur adding
Solve algebraically for all values of x:
8x^4-70x^3-18x^2
Answer:
x= 0
x= 9
x= -1/4
Step-by-step explanation:
(look at the pic I posted)
A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?
Explanation:
The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.
Solve for a. |2a-10|=6
Answer:
a= 2
Step-by-step explanation:
2 × 2 -10=6
4-10= 6
6=6
please solve the equation and describe what mistake asif did
Answer:
1/2
Step-by-step explanation:
8×+1=5
8×=5-1
8×=4
×=4/8=1/2
Work out 4 1/2 ÷3/5 give your answer as a mixed number in its simplest form
Answer:
7 1/2
Step-by-step explanation:
yw :)
hi can anybody help thx!
What is the volume of air in a lab of dimensions 8 mx 5 m x 3 m?
What is the mass of the air? (Density of air = 1.3 kg/m3)
Answer:
Volume of air = 120 m³
Mass of air = 156 kg
Step-by-step explanation:
Volume of air in a lab of dimensions,
= 8 x 5 x 3
= 120 m³
Mass of the air ?
Given : Density of air = 1.3 kg/m³
Formula : -
Density = Mass / Volume
Mass = Density x Volume
= 1.3 x 120
Mass = 156 kg
Please help me thanks a lot
Answer:
C
Step-by-step explanation:
Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.
y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45
Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.
Answer:
d - 20 = r
r = remaining amount
Answer:
l=d-20
Step-by-step explanation:
use l for leftover cookies.
l=d-20
Hope this helps!