Answers
Answer:
[tex]f(n) = 15 + (n + 1)[/tex]
Step-by-step explanation:
Tina earns $15 every week when she mows the lawn.
We would put $15 because she earns $15 every week.
She earns 15 every week, so we would put (n + 1).
Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]
Answer:
The explicit rule is:
[tex]f(n)=60+15(n-1)[/tex]
After 15 week, Tina will have $270 in her savings account.
Step-by-step explanation:
Let’s write down our sequence so we can see it better.
For the first week (i.e. the first term), Tina has $60.
For the second week (i.e. the second term), Tina has $75.
And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.
Therefore, we can write the following sequence:
60, 75, 90, 105, 120, 135...
Note that our initial term a is 60.
And our common diffference will be 15.
Let’s find the explicit rule. The standard format for an explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:
[tex]f(n)=60+15(n-1)[/tex]
So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:
[tex]f(15)=60+15(15-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]
Hence, after 15 weeks, Tina would have $270 in her savings account.
Related Questions
Can somebody answer this
Answers
The graph shows the cube root parent function.
Answers
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
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Help please it’s due in a bit
Answers
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
y = mx + b
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ b = 3
(4, 1), (6, 0)
m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + 3
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answers
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
solve : 3 under root a/b
Answers
what scale factor is applied to shape b to make shape A:
A. 1/2
B. 3/4
C.4/3
D. 2
Answers
Answer:
D. 2
Step-by-step explanation:
Answer:
D.2
Step-by-step explanation:
you need to multiply the sides of B by 2 to get the sides of A.
3 times 2= 6
6 times 2=12
4 times 2=8
Divide. Round your answer to the nearest whole number.
2,592.1856 divided by .108=?
Answers
Answer:
24002
Step-by-step explanation:
2,592.1856 divided by 0.108
= 24001.7185185
= 24002 (rounded to the nearest whole number)
Hope this helped!
Your payment is $350 per month for 48 months and you made a 3,000 down payment?
Answers
Answer:
Your total cost would be $19800
Step-by-step explanation:
350*48
=16800
+3000
=19800
Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He needs another 4.5 cubic feet to complete his landscaping project. Which expression shows the total cost in dollars of the mulch?
A: 1.29⋅16.5⋅1.29⋅4.5
B: 1.29⋅16.5+4.5
C: 1.29(16.5+4.5)
D: 16.5(1.29+4.5)
Answers
Answer:
B
Step-by-step explanation:
Answer:
C. 1.29(16.5 + 4.5)
Step-by-step explanation:
In order to find the total cost he spent you would have to combine the amount of mulch he bought and then multiply the total amount of mulch by the amount it costs per foot. The only equation that represents this is C. The 16.5 and 4.5 cubic feet are combined to see how many cubic feet of mulch he bought, and then the value is multiple by 1.29, the cost of mulch per cubic foot.
I hope this helps :)
What is the average rate of change for f(x) = -5* + 140 over the interval 1 sxs 3?
es )
A)
-120
B)
-60
120
D)
60
Answers
Answer:-60
Step-by-step explanation:
someone help me plz. i would app it.
Answers
What is equivalent to (3-2i)^2
Answers
Answer:
13
Step-by-step explanation:
(3-2i)^2 =
9-4i^2 =
9-4(-1) =
9+4 = 13
It takes 115 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?
Answers
Answer: 9.5
Step-by-step explanation:
You need to do 115/12 and the answer is 9.5 so if that is not an answer it will be10 rounded up
what is the value of this expression below when x=5
5x+6
Answers
Answer:
31
Step-by-step explanation:
5(5) + 6
5 x 5 = 25
25 + 6 = 31
Using the Equation, predict how much the Temperature change will be in 20 years since 2000.
Answers
Answer:
0.82° C
Step-by-step explanation:
To predict how much change the temperature will be in 20 years time since 2000, simply substitute x = 20 into the given equation, [tex] y = 0.52 + 0.015x [/tex]:
[tex] y = 0.52 + 0.015(20) [/tex]
[tex] y = 0.52 + 0.3 [/tex]
[tex] y = 0.82 [/tex]
✅The temperature change would be 0.82° C.
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answers
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
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Work out the perimeter of a rectangle with length 8.5cm and width 0.2cm.
Answers
Answer: 17.4 cm
Step-by-step explanation: All you have to do is add all of the sides together.
So 8.5+8.5+0.2+0.2
=17+0.4
=17.4 cm
Answer:
17.4 cm
Step-by-step explanation:
A rectangle has two sets of parallel, equal sides. So that means two of the sides are equal to 8.5cm and the other two sides are equal to 0.2cm. When you put that in an equation:
8.5 + 8.5 + 0.2 + 0.2 = 17.4
Hope this helps :)
A dragonfly can fly at 36 miles per hour.at this rate,how far can it fly in 10 minutes?
Answers
Answer:
it can fly 6 miles in 10 mins as 10×6=60 36/6=6
10 minutes is 1/6 of an hour
36/6 = 6
A dragonfly can fly 6 miles in 10 minutes
A total of 2000 people attended a benefit concert was held to raise money for a children foundation. Student ticket cost $2 and an adult ticket cost $3. If the organizer raises a total of $5050, how many students attended the concert?
Answers
Answer:
257 kids
Step-by-step explanation:
which of the number 285, 627, 5490, 7290, 7295, 15780, 43695 are divisible by 5 but not 3
Answers
Answer:
Step-by-step explanation:
They all end in 0 or 5 except 627, so all but 627 are divisible by 5.
The following are divisible by 3
285
627 is divisible by 3 (but not 5)
5490 is divisible by 3
7290 is divisible by 3
15780
43695
===============
So your answer is
7295
I think that's the only one divisible by 5 but not 3.
===============
There's a quick way to divide by 3. Just add the digits. If the sum is divisible by 3 then the whole number is divisible by 3
For example 285
2 + 8 + 5 = 15.
15 is divisible by 3 so 285 is divisible by 3.
==================
7295 = 7 + 2 + 9 +5. Anything adding up to 9 you can cast out.
7 + 2 = 9 Cast it out
9 = 9 Cast it out
5 is not divisible by 3, so 7295 is not divisible by 3
What is the equation of a line that has a slope of 2/5 and passes through the
point (-5,5)? *
Answers
Answer:
y = 2/5x + 7
Step-by-step explanation:
substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept
y=mx+b
5 = 2/5(-5) + b
5 = -2 + b
add 2 to both sides to solve for b (y intercept)
b = 7
therefore the equation for the line will be...
y = 2/5x + 7
What is the diffrence between 102.62 and 101.94??
Answers
Answer:
Quantity and Price Indexes for Gross Domestic Product Continued [ Index ... 105.19 101.53 101.52 105.10 103.10 101.94 101.94 107.21 104.47 102.61 102.62 ...
Step-by-step explanation:
higher and low
square root of 121x^2
Answers
Answer:
Step-by-step explanation:
square root of 121 is11
square root of x^2 is x
so 11x
PLS HELP 35 POINTS
A line passes through the points (-2,9) and (1,3).
What is the slope?
What is the y-intercept?
What is the slope-intercept form?
Answers
Answer:
Slope: -2
Y - Intercept: 5
Slope - Intercept Form: y=-2x+5
Step-by-step explanation:
Answer:
y=-2x+5, Slope:-2 , Intercept:5
Step-by-step explanation:
Mark brainliest
Hello, please help with this multiple choice question, thanks.
Answers
Answer:
A: SAS
B: SSS
C: AAS
D: ASA
please help me thanks
Answers
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Andy is reading a novel. At 9:00AM, he has read 90 pages. At 12:00 PM, he has read 300 pages. What is Andy's average reading speed between 9:00AM and 12:00 PM? * 20 points
Answers
Answer: about 2 pages per minute
Answer:
75 pages an hour.
Step-by-step explanation:
y = 300/4x + 90
The question is asking for the slope
300/4 is the slope
300 pages in 4 hours.
We need to find out how many pages he can read per hour so we divide both numbers by 4.
300 ÷ 4 = 75
4 ÷ 4 = 1
He can read 75 pages per hour.
Brainliest is much appreciated!
Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2)
Answers
Answer:
D.(1,-2)
Step-by-step explanation:
y= -3x+1
when x=1
y= -3*1 +1
y=-3+1
so
y=-2
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answers
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}