On January 1, Trisha put $100 into a savings account that earns interest. That same day, Mark put some money into another savings account that also earns interest. After 5 years, Trisha’s account balance is 145% of her original balance, and Mark’s is 160% of his original balance. Mark and Trisha withdraw all of their money and use it to spend $225 at the amusement park. If together they have $40 left from their withdrawals after the amusement park, how much did Mark put into his savings account?
Trisha thinks that if Mark also put $100 into his account, then they would had more than $100 left after the amusement park. Is she correct or not? Explain.
Answer:
Mark deposited $75Trisha is not correctStep-by-step explanation:
The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...
Trisha withdrew $100 × 145% = $145Mark withdrew d × 160% = 1.6d . . . for some initial deposit d$145 + 1.6d = $225 +40 . . . . . withdrawals = spent + change__
a.Solving this equation, we can find Mark's withdrawal and his initial deposit.
145 +1.6d = 265
1.6d = 120 . . . . . . . the amount Mark withdrew
d = 120/1.6 = 75 . . . . the amount Mark deposited
Mark put $75 into his savings account.
__
b.Had Mark put $100 into his savings account, the total of withdrawals would have been ...
Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305
After spending $225 of this amount, they would have had a leftover amount of ...
$305 -225 = $80
Trisha is not correct in her thinking that there would be more than $100 left over.
0.4 divided by 29 equally is?
Answer:
72.5 (Not rounded)
Hope this helps!
If m =32, what is the Value of 3(m+5) ? A.37 B. 96 C.101 D.111
Answer:
D) 111
Step-by-step explanation:
What is
8 divided by 4 (3-1)
Answer:
[tex]8 \div 4(3 - 1)[/tex]
let's follow BODMAS for solving this expression ~
the BODMAS rule states the order for solving a given question and the order lies in its full form which is as follows ~
B - brackets
O - of
D - division
M - multiplication
A - addition
S - subtraction
using the order , let's move to the expression given now ~
[tex]\dashrightarrow \: 8 \div 4(3 - 1) \\ \\ as \: the \: rule \: states \: , \: we \: will \: solve \: the \: brackets \: first \\ \\\dashrightarrow 8 \div 4(2) \\ \\ brackets \: again \\ \\ \dashrightarrow \: 8 \div 8 \\ \\ and \: finally \: divison \\ \\ \dashrightarrow \: 1[/tex]
hope helpful :D
The value of expression 8 divided by 4 (3-1) would be equal to 1
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the expression of 8 divided by 4 (3-1)
A negative divided by a negative is positive, therefore,
8 / 4 (3-1)
8 / 4(2)
8/8 = 1
Therefore, The value of 8 divided by 4 (3-1) is; 1
Learn more about division here:
brainly.com/question/26411682
#SPJ2
I need an answer for all those please!
Find the length of AB
help
Answer: 9
Step-by-step explanation:
Think carefully about the angle relationship the following represents.
What is the value of ∠JML?
Answer:
<JML=126 degrees, x=42
Step-by-step explanation:
well, something important to note here is that a straight line is allways equal to 180, and you have part of the 180 sitting there on the line being 54 degrees, so all you have to do is do 180-54=126 and that is the measure of <JML, to find x, you just reverse the steps you see, right now 3x=3*x so you want to reverse that and divide 126/3=42.
Angles are supplementary hence their sum is 180°
3x+54=1803x=180-54=126x=126/3x=42So
<JML=3x=126°
What’s the domain and range?
Answer:
Domain: [0,4]
Range: [0,64]
Step-by-step explanation:
The domain is all x values the function ranges in and the range is all y values the function ranges in.
x is from 0 to 4.
y is from 0 to 64.
Domain: [0,4]
Range: [0,64]
We use brackets to show that we include the endpoints
Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. in the middle of this wall is a circular window whose radius is 2 ft. what is the area of the wall without the window? use 3.14 for pi. enter your answer as a decimal in the box. ft²
Answer:
79.44 ft²
Step-by-step explanation:
Area (wall)
Area (trapezoid) - Area (circle)1/2 x (10 + 13) x 8 - 3.14 x 2²4 x 23 - 12.5692 - 12.5679.44 ft²NEED HELP ASAPPPPPP!!!!!!
Answer:
D
Step-by-step explanation:
K/1 = (QD)/(AT)
(K)(A)(T) = (Q)(D)
A = QD/KT
Find the surface area of a cylinder with radius 2 yards and height 6 yards.
Give me the answer
Is the following a statistical question?
How much do new cars cost?
Find the length of the third side to the nearest tenth
Answer: ≈ 1.4.
Step-by-step explanation: To find the hypotenuse of a triangle (the longest side of a triangle), you need to add the legs (the two sides of the triangle that are not the hypotenuse). You need to have ^2 when adding each leg. For example, both legs are 1 so when you're adding them, the equation should look like this--> 1^2 + 1^2. Then, once you find the answer to that, you need to find the square root of the answer. The work is done below:
1^2 + 1^2 = 2.
√2 ≈ 1.41421356 or ≈ 1.4.
Therefore, your answer is ≈ 1.4.
Let me know if this is right! :)
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
How many people between the ages of 35 and 54 prefer football?
Answer:
the answer is five 5 students prefer football
PLEASE HELP
Find the length of the missing side of a right triangle if a=6 & c=11
rad85
rad157
rad5
rad17
3 pounds to 18 ounces
Answer:
divide the pounds to get 18 ounces
Step-by-step explanation:
i think?
PLEASE HELP ME IM TIMED
ONLY THE SECOND QUESTJON PLEQSE
Answer:
2.
A. GCF: 5x
B. GCF: 1
3.
A. 12x² + 38x - 14
B. 9x² - 6x + 1
C. 3x² + 4x - 5
Step-by-step explanation:
2.
a.
5x² - 30x
5x (x - 6)
GCF: 5x
b.
-12x² - 3xy - 4y²
GCF: 1
3.
a.
(2x + 7)(6x - 2)
2x(6x - 2) + 7(6x - 2)
12x² - 4x + 42x - 14
12x² + 38x - 14
b.
(3x - 1)²
(3x - 1)(3x - 1)
3x(3x - 1) - 1(3x - 1)
9x² - 3x - 3x + 1
9x² - 6x + 1
c.
(x + 3)(3x - 2) - (3x - 1)
3x(x + 3) - 2(x + 3)
3x² + 9x - 2x - 6
3x² + 7x - 6 - (3x - 1)
3x² + 7x - 6 - 3x + 1
3x² + 4x - 5
I hope this helps!
What is the fourth term of the geometric sequence whose first term is 7 and has a common ratio of -2
Answer:
-56
Step-by-step explanation:
It is often easiest to find terms of a sequence by simply writing each one based on the previous one. Here, the common ratio of -2 tells you that each term is -2 times the previous term.
The first four terms are ...
7, -14, 28, -56
The fourth term is -56.
triangle ABC is similar to triangle DEF. The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3 what is the measure of DF
The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3, and since side AC is the corresponding side of side DF -> Side DF = 3/2 side AC
-> Side DF = 2.5 x 3/2 = 3.75 cm.
Find the distance between (-3, -4) and (2, -4)
Answer:
[tex]\boxed{\sf{5}}[/tex]Step-by-step explanation:
Distance can be calculated using a distance formula.
⇒ (-3,-4) and (2,-4)Distance formula:
[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]
The distance between (-3,-4) and (2,-4) are:
[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]
Then, you solve.
[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]
Therefore, the distance between (-3,-4) and (2,-4) is 5, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)
Answer:
Step-by-step explanation:
I need answers NOW!
BRAINLIEST FOR WHO CAN ANSWER!
I don’t understand this question
Answer:
Step-by-step explanation:
Consider the equations y = 3x and y = -12- x.
Complete the table of values for the equation y = 3x.
Х
-7
-5
-3
Answer:
x | -7 -5 -3
y | -21 -15 -9
Step-by-step explanation:
y = 3x
If x = -7 then y = 3 × (-7) = -21
x = -5 then y = 3 × (-5) = -15
x = -3 then y = 3 × (-3) = -9
Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))
Answer:
-1
Step-by-step explanation:
First, we need to work out the left-hand side.
find g(2) → g(2) = 2 - 1 which is 1next, find f(1) → f(1) = 1³ which is 1Now, we can work out the right hand side.
find f(-1) → f(-1) = -1³ which is -1then, find g(-1) → g(-1) = -1 - 1 = -2Finally we can work out the full sum: 1 + -2 = -1.
Hope this helps!
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.
A) 452.16 cm2
B) 37.68 cm2
C) 113.04 cm2
D) 18.84 cm2
Answer:
C) 113.04
Step-by-step explanation:
A=πr2
A=3.14 · 6 ≈ 113
The reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes. what is the critical value for z for a hypothesis test using a 5% significance level? z* =
The critical value for z for a hypothesis test using a 5% significance level is 1.65
It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.
It is required to find the critical value for z for a hypothesis test using a 5% significance level.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have a hypothesis H1 that wait time is actually greater than 60 minutes.
H1(T>60)
This is the case of the right-tailed hypothesis.
We have a significance level = 5% ⇒ 0.05
The statistics follow a normal distribution curve
Critical value = 1.6449 ≈ 1.65 (from the table at 5% significance level)
Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65
Know more about the normal distribution here:
brainly.com/question/12421652
Enola owns a small business selling ice-cream. She knows
customers paid cash, 76 customers used a debit card, and 10 customers used a credit
card. .
Based on these results, express the probability that the next customer will pay with
something other than a credit card as a decimal to the nearest hundredth.
the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.
The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:
Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86
Therefore, the probability that the next customer will pay with something other than a credit card is:
P = Total customers who paid cash or used a debit card / Total number of customers
P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)
P = 0.93
So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ1
Is the following shape a rectangle? How do you know?
Answer:
B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel
Answer:
B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel
Step-by-step explanation:
This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.
Hope this helps. If you have any further questions, let me know!
- profparis
Leo buys pasta for 12 people,
(a)
Each person eats 100 grams of pasta.
One packet has 500 grams of pasta.
How many packets must Leo buy?
Answer:
3
Step-by-step explanation:
If each packet has 500 grams, and each person eats 100 grams, then one packet will feed five people (500/100=5). Since he will be buying pasta for 12 people, he will need to buy three packets, because 3*500=1500 grams. While there is some extra, buying only two packets would result in not enough pasta.
