Jordan is starting to save $150 to buy a new cell phone. In December, he saved $5. In January, he plans twice as much as he did in December, for a total savings of $15 ($5 + $10). If Jordan continues to save twice as much he saved from the previous month, in which month will his total savings will be enough to buy the phone.
Answers
9514 1404 393
Answer:
April
Step-by-step explanation:
The sequence of amounts saved is a geometric sequence. The sum of those amounts is given by the formula ...
Sn = a1·(r^n -1)/(r -1)
where a1 is the amount saved in month 1, r is the common ratio, and n is the number of months. We want to find n such that ...
150 ≤ 5(2^n -1)/(2 -1)
30 ≤ 2^n -1
31 ≤ 2^n
We can solve this using logarithms, or we can make use of our knowledge of powers of 2: 2^5 = 32. That is, n = 5 will be the first month when Jordan's total savings exceeds $150.
The fifth month will be April. Jordan's total savings will be enough in April.
__
The attached shows a spreadsheet that computes Jordan's amount of savings each month, and his running total. Once the formulas are written, they can be copied down as far as required to see where the total savings is enough.
Related Questions
pls help me geometry is so confusing
Answers
In a class of 23 students, 16 have a brother and 15 have a sister. There are 11 students
who have a brother and a sister. What is the probability that a student chosen
randomly from the class is an only child?
Answers
Answer:
3/23Step-by-step explanation:
11 students have a brother and a sister16 students have a brother and 16 - 11 = 5 have a brother only15 students have a sister and 15 - 11 = 4 have a sister onlySo out of 23 students:
11 + 5 + 4 = 20 have a brother or sister or bothAnd therefore
23 - 20 = 3students have no brothers or sisters
The required probability is:
3/23Liz wants to buy a shirt for $25.what will the total cost after tax be if Liz buys the shirt in Springfield
Answers
Answer:
ya
Step-by-step explanation:
10, 8, 6, ...
Find the next term in the sequence.
Answers
Answer:
4, the answer is 4...
Step-by-step explanation:
The sequence is substracting 2 in each number...
10; 8; 6; 4...
Determine the answer to (−5) + 4 and explain the steps using a number line.pls help i will give 62 pints
Answers
What is the image of (7, -3) after a reflection over the x-axis?
Answers
Answer:(7,3)
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answers
Answer:
x ≈ 74.3
Step-by-step explanation:
Using the tangent ratio in the right triangle, that is
tan22° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )
x × tan22° = 30 ( divide both sides by tan22° )
x = [tex]\frac{30}{tan22}[/tex] ≈ 74.3 ( to the nearest tenth )
what is the inverse of the function f(x)=-1/2(x+3)
Answers
Answer:
2x +6
Step-by-step explanation:
The role that an organism plays within the area it lives is known as its
Question 5 options:
A.Nest
Will give brainliest
B.Habitat
C.Home
D.Niche
Answers
Answer:
Niche
Step-by-step explanation:
Ecology dfn of niche
Look at the graph shown below:
A coordinate plane is shown. A line passes through the point −4 comma 1 and through the y-axis at 4.
Which equation best represents the line?
y = 3 over 4.x + 4
y = 4 over 3.x + 4
y = 4x + 3 over 4.
y = 4x + 4 over 3.
Question 2(Multiple Choice Worth 4 points)
(04.07A)
Two quantities are related, as shown in the table below:
x y
2 2
4 5
6 8
8 11
Which equation best represents the relationship?
y = 3 over 2x + 2
y = 3 over 2x
y = 3 over 2x − 1
y = 3x + 2
Question 3(Multiple Choice Worth 4 points)
(04.07A)
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
No, because they are not similar triangles
No, because one is larger than the other
Yes, because they are both right triangles
Yes, because they are similar triangles
Question 4(Multiple Choice Worth 4 points)
(04.07A)
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Question 5(Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?
A coordinate plane is shown. A line passes through the y-axis at 3 and through the point 2 comma 4.
0
1
3
3.5
Answers
Answer:
y = negative 1 over 2 x + 11
took the test and its the correct answer
Step-by-step explanation:
Answer:
y=3 over 4.x+4
Step-by-step explanation:
PLEASE HELP MEEEEE!!!!!
Answers
Answer:
The mass of 10mL of this liquid would be 25g.
Step-by-step explanation:
The formula for mass in relation to density and volume is:
mass=Density*volume
Knowing this, we could plug in the given volumes and solve:
m=Dv
m=(2.5g/mL)*(10mL)
m=25g
I hope this helps!
How many batches if each person gets a 1/2 cup for 240 people?
Answers
Depends on how many people you are serving. If you are serving say 960 people it would be 4 batches or 2 cups.
Answer:
120
Step-by-step explanation:
1/2×240= 120
or half of 240 cause 1/2 is half of 1
PLEASEEEE HELPPPPP !!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer: what are you looking for
Step-by-step explanation:
Answer: m<QRT = m<SRT
m-
GET
17.
xm+ xy
(b) fa x = 2, y = 3, m= 4 n= 1 45 m-n
xm-nxymn
मान पत्ता लगाउनुहोस्।
If x = 2, y = 3, m = 4 and n= 1, find the value of
xm+nxy
Ans:
xm-nxym
m-n
+10
m + n.
Answers
Answer:
[tex]xm+nxy=14[/tex]
Step-by-step explanation:
Given that x = 2, y = 3, m = 4 and n= 1.
Putting all the given values to get the value of xm+nxy.
So, the value of [tex]xm+nxy=2\times 4 + 1\times 2 \times 3=14[/tex]
Hence, [tex]xm+nxy=14[/tex].
could someone please help me with this?
Answers
What is the magnitude (size) of 6.8?
O A. 68, because |6.8| = 68
O B. -6.8, because |6.8| = 6.8
C. 6.8, because |6.8|= 6.8
O D. 6.8, because |6.8| = -6.8
Answers
Answer:
C. 6.8, because |6.8|= 6.8
Step-by-step explanation:
The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:
Find the magnitude of the following numbers:
i. -20
ii. 10
iii. -5
iv. 2
The magnitudes of the numbers can be expressed as:
i. |-20| = 20
ii. |10| = 10
iii. |-5| = 5
iv. |2| = 2
Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.
Mike has a credit rating of 720. Tyler has a credit rating of 560. Mike and Tyler apply for identical loans from Park Bank. Mike is approved for a loan at 3.2% interest, and Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating. What interest rate is Tyler charged?
Answers
Answer:
6.2%
Step-by-step explanation:
Credit rating is an evaluation of the credit risk of a borrower, that how often a person is going to repay their debt, by credit rating it predicts the ability of the debtor to payback.
Mike has credit rating = 720
Tyler has credit rating = 560
Both are approved for loan. Mike's Credit score is higher, which means he is a much safer debtor as compared to Tyler. Mike will be able to pay back much easily than Tyler. Therefore Mike interest rate is 3.2%
Interest rate of Tyler is higher as he is not that trusted and has low Credit rating. Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating so it interest on the loan will be
Interest = 3.2%+3% = 6.2%
Answer: 45
Step-by-step explanation:
Jenny earned 104 of a possible 140 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have? PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
Jenny had 9 incorrect answers.
Step-by-step explanation:
We know that Jenny earned 104 of a possible 140 points on a test.
140 - 104 = 36
We also know that she lost 4 points for every incorrect answer.
36 ÷ 4 = 9
Therefore, Jenny had 9 incorrect answers.
Hope this helps! :D
Answer:
9 questions incorrect
Step-by-step explanation:
Make an Equation
104+x(4)=140
X is for incorrect answers and since each incorrect answer is Worth 4, multiply x by 4. The 104 is the point Jenny orignally got so we put that in the equation to find how many Incorrect she got.
Solve the equation
104+4x=140 Subtract 104 on both sides
4x=36 Divide 4 on both sides
x=9 X=9
pls pls plssss helppOOOOoo
Which graph represents the function f(x) = |x|?
Answers
Answer:
Graph 1
Step-by-step explanation:
estimate of 372 divided by 4
Answers
16x+14y=8
-63x-14y=133
Answers
Answer:
(-3, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define Systems
16x + 14y = 8
-63x - 14y = 133
Step 2: Solve for x
Elimination
Combine 2 equations: -47x = 141Divide -47 on both sides: x = -3Step 3: Solve for y
Define original equation: 16x + 14y = 8Substitute in x: 16(-3) + 14y = 8Evaluate multiplication: -48 + 14y = 8Add 48 on both sides: 14y = 56Divide 14 on both sides: y = 4Step 4: Graph Systems
Check the solution set.
I need help on thiss
Answers
Answer:
1/3
Step-by-step explanation:
Convert the Fractions Into decimal to know the detailed information as almost to whole numbers then use the Integer number system to figure out which is bigger or smaller.
2/8 = 0.25
1/3= 0.33
1/5= 0.2
1/7= 0.14
The largest of them all is 0.33
HELP NOW 50 POINTS!
Given the system below, SELECT all terms that will be
eliminated by adding the equations together.
-X + y = -1
2x - y = 0
-x
2x
y
-y
-1
0
Answers
-x
2x
-1
0
Step-by-step explanation:
sorry I don't understand but have you tired go-oo?
Victor is attending a local fair and wants to go on at least 12 rides. The spinning rides cost $2 each, and the roller coasters cost $3 each. Victor has $30. Write a system of inequalities to determine if the combination of 6 spinning rides and 7 roller coasters is viable.
A. x+y≥12
2x+3y≤30
The combination of 6 spinning rides and 7 roller coasters is viable.
x+y≥12
2x+3y≥30
B. The combination of 6 spinning rides and 7 roller coasters is viable.
x+y≥12
2x+3y≤30
C. The combination of 6 spinning rides and 7 roller coasters is not viable.
x+y≥12
2x+3y≥30
D. The combination of 6 spinning rides and 7 roller coasters is not viable.
Answers
Answer:
B?
Step-by-step explanation:
Does anyone know how to solve this?
Answers
Answer:
first car : 115 liters
second car: 135 liters
Answer:
car 1 = 173.08 liters
car 2 = 76.92 liters
Step-by-step explanation:
the first step is to find what ratio of car 1 is to car 2
that is 18:8
total ratio is 26
the combination of car 1 and 2 = 26
the total km = 3350
total fuel = 250 liters
car 1 = 18 x 250 liters
26
= 173.08 liters
car 2 = 8 x 250 liters
26
= 76.92 liters
173.08 + 76.92 = 250
please leave an explination ( step by step pleas!)
Answers
Answer:
y = 2/7x
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2/7
y-intercept b = 0
Step 2: Write equation
Substitute [Form]: y = 2/7x + 0Simplify: y = 2/7xExplanation: Slope-intercept form is y=mx+b the m meaning slope and the b meaning y-intercept, so by plugging in the variables in slope-intercept form it's y=2/7x+0; since the y-intercept is 0 it doesn't need to be in the equation so it's y=2/7x
kasey are u online plz reply me 208x492
Answers
Answer:
102336
Step-by-step explanation:
Im bored
Answer:
Hi, my name is Kasey. Are you talking about me??
Step-by-step explanation:
The youth group at the church decided to plant geraniums and
daisies around the church grounds as a group project. Geraniums
in 6" pots cost $4 each and daisy plants cost $6 each. The youth
group spent $410 on 80 plants. How many geraniums and how many
daisy plants did the group buy?
Answers
Answer:
The youth group bought 35 geraniums and 45 daisy plants.
Step-by-step explanation:
We can solve this using a system of equations:
x + y = 80
4x + 6y = 410
X = Geraniums
Y = Daisies
First, let's solve for a variable in the first equation. I am going to solve for y in the first equation:
x + y = 80
y = -x + 80
Now that we have solved for y we can plug that back in to the 2nd equation:
4x + 6(-x + 80) = 410
4x - 6x + 480 = 410
-2x + 480 = 410
-2x = -70
x = 35
Now that we have found the amount of geraniums we can plug it back into the first equation and solve for y:
35 + y = 80
y = 45
Therefore the youth group bought 35 geraniums and 45 daisy plants.
Check:
(35) + (45) = 80
80 = 80
4(35) + 6(45) = 410
140 + 270 = 410
410 = 410
I hope this helps!!
- Kay :)
Molly increased her original score as a bowler by 20% giving her a new score of 75. What was her original score?
Answers
Answer:
62.5
Step-by-step explanation:
120% = 75
100% = ?
cross multiply
62.5
Her original score was 62.5
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, her new score as 75 then let his original score be x
then 75 = (1+20%) × x
x= 75/1.2
= 62.5
Hence, the original score is 62.5
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
HELP ASAP!!
Solve the following quadratic equation for all values of x in simplest form.
3(x - 2)2 – 37 = 20
Answers
pls give brainliest if you found my answer helpful
Work: Step 1) 3(x-2)2-37=20
Step 2) (3x-6)2-37=20
Step 3) 6x-12-37=20
Step 4) 6x-12= 20+37
Step 5) 6x=57+12
Step 6) 6x=69
Step 7) x=69/6
Step 8) x= 23/2