Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150
This table gives the value of an investment for the first 5 years after the initial investment was made. The data can be modeled using an exponential function.
Years 1 2 3 4 5
Investment value $1,050 $1,103 $1,160 $1,215 $1,280
Based on the data, which amount is closest to the value of the investment 10 years after the initial investment?
$1,350
$1,475
$1,625
$1,800
Answer:
C.) $1,625
Step-by-step explanation:
Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800
From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear
You can just double 280 and get 560, which the closest answer is 1,625
It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween
$1,625
The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's suppose the exponential function that model the problem is:
[tex]\rm y = ae^k^x[/tex]
Plug x = 1 and y = 1050
[tex]\rm 1050 = ae^k[/tex] ...(1)
Plug x = 2 and y = 1103
[tex]\rm 1103 = ae^2^k[/tex] ...(2)
Divide equation (2) with (1)
[tex]\rm e^k = 1.0504[/tex]
Taking ln to get the value of k
k = 0.0491
a = 999.69
The exponential function:
[tex]\rm y = (999.6902)e^{0.0491}^x[/tex]
Plug x = 10 years in the above function:
y = $1633.44
Which is close to $1625
Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ2
A sphere has a radius 2.7 centimeters, What is its volume to the nearest cubic centimeter
Answer:
82.447957600811
Step-by-step explanation:
Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. What expression could Mr. Jackson use to find the cost of ordering n lunches?
The question is incomplete, here is the complete question.
Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. There is also a one-time delivery fee of $3.50. What expression could Mr. Jackson use to find the cost of ordering n lunches
Answer:
6.25x + 3.50
Step-by-step explanation:
Mr. Jackon orders lunch for his coworkers and himself at the cost of $6.25
The delivery fee is $3.50
Therefore the expression that can be used to find the cost of ordering lunch is
n = 6.25(x) + 3.50
n= 6.25x + 3.50
What is the perimeter of a square whose area is 289 square feet?
A. 17 feet
B. 48 feet
C. 68 feet
D. 73 feet
Answer:72.25
Step-by-step explanation:
Find the equivalent of 2x^2 + (4x -6x^2) + 9 - (6x + 3)
A. -4x^2 - 2x +12
B.-4x^2 -2x + 6
C.-10x +6
D. 18x +12
Answer:
B.-4x^2-2x+6.
Step-by-step explanation:
=2x^2+4x-6x^2+9-6x-3.
=2x^2-6x^2+4x-6x+9-3.
=-4x^2-2x+6.
Pls help meee I’m stuck in this question
Answer:
I think it is orange .......
Answer: Cherry I think
Step-by-step explanation:
4 m 5m
What is the volume of the cone to the nearest cubic meter? (Use TC = 3.14)
A)
21 m3
B)
84 m2
0)
168 m
D)
335 m
Answer:
Step-by-step explanation:
volume of cone = πr²h/3
= 3.14×4²×5/3 = 84 m³
The diameter of a circle is 0.82 inches. What is the approximate area of the circle?
Answer:
.53
Step-by-step explanation:
your diameter is .82,so divide it by two to get your radius
.82 / 2 = .41
A = [tex]\pi[/tex] r ^2
A = [tex]\pi[/tex] .41 ^2
A = .53
Answer:
0.53
Step-by-step explanation:
rewrite the question in slope-intercept form:
2x-4y-12= -13-2x
Answer:
y= x + 1/4
Step-by-step explanation:
did the math and that should be your answer
SIMPLE > Simplify. 4√27 + 6√75 Enter your answer, in simplest radical form...
Answer:
42√3
Step-by-step explanation:
4√27 = 4√(9)(3) = 12√3
6√75 = 6√(25)(3) = 30√3
12√3 + 30√3 = 42√3
Translate the sentence into an equation.
Seven times the sum of a number and 5 equals 2.
Answer: 7(x + 5) = 2
Step-by-step explanation:
Use the variable x to represent the number
7(x +5) = 2
Answer:
7(x+5)=2 x= -33/7
Step-by-step explanation:
PLEASE HELP!!!!
If u give me the answer I will post another question for u worth ALOT of points just so rn I don't get scammed :(
How would you write the rules for solving fraction expressions?
A)- Addition
B)- Subtraction
C)- Multiplication
D)- Division
Answer:
multiplication
Step-by-step explanation:
Solve the following system by substitution.
6x + 7y= 20
y = 2x
Answer:
Hope this helps!
Step-by-step explanation:
Point Form:
(1,2)
Equation Form:
x = 1 , y = 2
HELP PLS! TYSM (brainliest if correct)
Answer: 15.1
Step-by-step explanation:
15.2
- 0.1
15.1
The letters in the word JANUARY were put in a bag and drawn randomly. What is the probability of picking an a?
Answer: 2/7
Step-by-step explanation:
There are 7 letters in January, and 2 "a"s in order to find the probability, simply take 2/7. You can either leave it in the fraction form, or use the calculator, showing you have a 0.2857% chance of picking an "a"
2/7
there are 7 letters in jAnuAry and as you can see there are 2 A's so there is a 2/7 chance which is higher of a chance than the rest of the letters which are 1/7 each so it is most likely you would draw A although I can't fully say that because there is a 5/7 chance of drawing the other letters. Another way to say it is there is a 0.28571428571% chance of drawing A but there is a 0.71428571428% chance of drawing any other letter.
Hope this helps :3
Have a good day!
which one is it help please
I really need help pls help me plz and pls answer it correctly with explanation.
Answer:
B
Step-by-step explanation:
The only diagram representing a function is B.
All the others fail rhe vertical line test. Each of the x values should have one y value assigned.
If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.
Answer:
12 square units
Step-by-step explanation:
Hope it helps
Find the area. Answer ASAP pls pls
Answer:
57.4
Step-by-step explanation:
Need help please get done fast.
Answer:
47
Step-by-step explanation:
the sum of all the interior angles in a triangle is 180.
25+108=133
180-133=47
Cuales son los valores
Answer:
Can you please translate this into English so I can help you?
Step-by-step explanation:
What is the approximate area of the shaded sector?
A. 38 cm2
B. 96 cm2
C. 302 cm
D. 603 cm?
Answer:
C. [tex] 302 \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 }{360 } \times 3.14 \times {(16)}^{2} \\ \\ = \frac{108,518.4 }{360 } \\ \\ = 301.44 \\ \\Area \: of \: sector \approx \: 302 \: {cm}^{2} [/tex]
f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3)????
Answer:
18
Step-by-step explanation:
f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3)
f(x)= 2(-3)= -6
g(x)= (-3)(2) +3= -6+3= -3
(g ∘ f) = -6 x -3= 18
4X + 3x + 2(3 + 6). Simplify *
which one is the answer
7 + 18
7X + 18
7X + 12
a 13 ft ladder is leaning against the house. The top of the ladder touches the house at ten ft above the ground. How far away is the bottom of the ladder from the house?
Three people selected a number. They could choose either 1 or 2. Their results were combined to give a 3-digit number. (For example, if they all chose 1, the 3-digit number was 111.) How many different 3-digit numbers were possible? a.3 b.8 c.4
Find the area of the shaded region.
(150°
6 cm
A-[?] cm2
Enter a decimal rounded to the nearest tenth.
Answer:
It's 38.1
Step-by-step explanation:
I'm not the best at explaining these type of things but I hope this helps you out
The volume of this rectangular prism is 59.52 cubic feet. What is the value of p?
4.8 ft
3.1 ft
р
= how many feet?
Answer: 4ft
Step-by-step explanation:
Three friends went to lunch and ordered the special. They had a coupon of $10 off the bill and they spent $35 in all. Write an equation to represent this situation.
Answer:
35-10/3
Step-by-step explanation:
PLEASE HELP!! ill give you 20 points
Step-by-step explanation: