Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
$61,000=x+y
5%=0.05
7%=0.07
2nd equation
0.05*x+0.07*y=$3,430
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?
Answer:
50mph
Step-by-step explanation:
to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.
Solve the following inequality 90 > 10x + 80
Answer:
x<1
Step-by-step explanation:
10x + 80 < 90
10x < 90 - 80
10x < 10
x < 1
If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4
Answer:
Pretty sure it's 3
Answer:
C 3
Step-by-step explanation:
1. Round off each of the following to the nearest whole number.
(a) 8.71
(b) 26.01
(c) 69.48
(d) 103.72
(e) 49.84
(f) 101.35
(g) 39.814
(h) 1.23
☽------------❀-------------☾
Hi there!
~
[tex]8.71 = 9[/tex]
[tex]26.01 = 26[/tex]
[tex]69.48 = 69[/tex]
[tex]103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
Step-by-step explanation:
Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer
If it is 0,1,2,3,4, then write the whole number as it it.
a) 8.71
tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9
8.71 = 9
b) 26.01
Tenth place is 0 and it is less than 5.So, write the whole number as it is.
26.01 = 26
c) 69.48 = 69 { 4 is less than 5}
d) 103.72 = 104 { 7 >= 5}
e) 49.84 = 50 { 8 >= 5}
f)101.35 = 101
g) 39.814 = 40
h)1.23 = 1
Inverse functions, PLEASE HELP I’m stuck
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Answer:
sgjajzbjsjshissnbsjakskdksoddj XD
Step-by-step explanation:
Solve for g.
4(g - 17) = 12
g=
Answer:
[tex]g=20[/tex]
Step-by-step explanation:
[tex]4\left(g-17\right)=12[/tex]
Divide both sides by 4:
[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]
[tex]g-17=3[/tex]
Add 17 to both sides:
[tex]g-17+17=3+17[/tex]
[tex]g=20[/tex]
Answer: g=0 or g=20 i hope this helped
If 9% of a number equals 5, find 36% of that number.
Answer:
20
Step-by-step explanation:
You can set this up in an algebraic equation:.09x=5 which translates to 9% times a variable or unknown number equals 5Divide both sides by .09 which turns to 55.5 Multiply by .36 to find 36% of that number which equals 20Elena draws a scale drawing for a garden in her backyard. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet. What is the scale of the drawing in inches to feet? IF YOU ANSWER THIS QUESTION RIGHT I WILL MARK YOU BRAINLIEST 50 POINT QUESTION
plzzz give brainliest i really need it for my next rank
Answer:
1 inch= 4 feet for both
Step-by-step explanation:
This also means that the scale converts to 1/4 in. = 12 in.
stay safe
Using proportions, it is found that the scale is of 0.25 inches per feet.
This question is solved by proportions, using a rule of three.3 inches represents 12 feet, while 6 inches represents 24 feet. Since they are multiples, we take one of them, and find how many inches are represented by 1 feet.The rule of three is:
3 inches - 12 feet
x inches - 1 feet
Applying cross multiplication:
[tex]12x = 3[/tex]
[tex]x = \frac{3}{12}[/tex]
[tex]x = \frac{1}{4}[/tex]
[tex]x = 0.25[/tex]
The scale is of 0.25 inches per feet.
To learn more about proportions, you can check https://brainly.com/question/24372153
If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?
Answer:
Step-by-step explanation:
6
Place the numbers in order from least to greatest.
0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004
Answer:
2x10^-4,0.004,4x10^-2,,0.042,0.24
Step-by-step explanation:
i did the paper
What are two different methods you can use to withdraw money from your checking account?
Answer:
You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.hat is the quotient of 78.3 ÷ 3.48?
Answer:
a answer to a division problem
Step-by-step explanation:because thats have it is U-U
Answer:
The quotient is 22.5
Step-by-step explanation:
78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer
Hope this helps
Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?
Answer:
She can paint 1 1/2 of a room
Step-by-step explanation:
I believe...
Answer:
8/9
its just simple equations
you do 2/3 divided by 3/4 for the unit rate.
dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does 's dive take ?
Answer:
7.5 meters
Step-by-step explanation:
Stay safe!!! Stay 6 feet!!
Answer:
its 7.5
i got it right
A bag contains n cards, each having numbers (1,2,3...,n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 4 is 1/6. How many cards are in the bag?
Step-by-step explanation:
There are 4 cards less than or equal to 4.
1/6 = 4/n
n = 24
Which table of ordered pairs represents a proportional relationship?
Answer:
2nd one
For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81
What’s the answer confused with this ??
Answer:
x = - 1
option I
Step-by-step explanation:
Equation is: 5x + 6 = 1
Subtract 6 from both sides
5x + 6 - 6 = 1 -6
5x = -5
Divide both sides by 5
5x / 5 = -5/5
x = -1
The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?
Answer:
149.5 pages excluding the back parts
150.8 pages including the back parts
Step-by-step explanation:
Total pages in Math 123 book = 230 pages
You aim to complete 65% of all the pages, how many should you finish
65 % of 230 pages
= 65 / 100 × 230 pages
= 0.65 × 230 pages
= 149.5 pages excluding the bark parts of the book
If you include the back parts, that is, the beginning and ending page
You have a total of 230 pages + 2 pages
= 232 pages
65 % of 232 pages
= 65 / 100 × 232 pages
= 0.65 × 232 pages
= 150.8 pages including the back parts
Joyce saved $130 on an item that was 35 % off. What was the original price?
Answer:
x=$200
Step-by-step explanation:
cross-multiply
130=0.65x
The sample mean is an example of ____.
(A) interval estimation
(B) point estimation
(C) confidence point
(D) confidence
Answer:
B) point estimation
Step-by-step explanation:
Sample mean is an example of point estimation. It is a point estimation of the population mean.
A point estimate of a population parameter is defined as one value of a statistic. The sample mean is regarded as the best point estimate of the population mean
Find the slope of the line passing through the points (8, 3) and (9, 7)
Answer:
4
Step-by-step explanation:
Since we have 2 points, we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(9-8)
= 4/1
= 4
(8, 3) and (9, 7)
To Find:The slope of the line passing through the points (8, 3) and (9, 7).
Slope Formula:y2 - y1 / x2 - x1
Solution:7 - 3 / 9 - 8
= 4 / 1
= 4
Answer:4
Which set of ordered pairs does not represent a function
The Second one {(-8,-7), (4,-2), (2,9), (-8,8)}
Step-by-step explanation:A function only gives ONE out put for a given value. But the second set has two outputs if we input -8, it gives you -7 and 8 so this must not be a function.
-75 - 82 plus 83 plus 54
Answer:
Hey!
Your answer is -20!
Step-by-step explanation:
(-75) - 82 gives us = -157
(-157) + 83 gives us = -74
(-74) + 54 gives us = -20
I HOPE THIS HELPED!
Answer:
The person above me is correct
Step-by-step explanation:
Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
Answer:
54.6
Step-by-step explanation:
42 = 70%
100% - 70% = .30%
42 x 1.3 = 54.6
Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning
Answer: The second distribution.
Step-by-step explanation:
We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)
For example, in the first distribution, we can see a normal distribution with a mean of 6.
This does not really make sense, because 6 plates is really a lot.
The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)
The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.
The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled. Almost-equals30 × 1015 meters Almost-equals3 × 108 meters Almost-equals30 × 108 meters Almost-equals3 × 1015 meters
Answer:
B. Almost-equals3 × 108 meters
Step-by-step explanation:
I just did the assignment:)
Answer:
B
Step-by-step explanation:
Just took the asignment.
what is a median of 11,16,29,29,29,33,52,52,52
We say that E is an indicator functions for the event A if I = {1 if A occurs 0 if A^c occurs Find E[I]. Compare the indicator function to a Bernoulli random variable.
Answer:
Step-by-step explanation:
Bb
HEEEEEEEEEEEEEEEELLLLLLLLLLLLLP :(