Answer:
interest rate= 4.5%
Step-by-step explanation:
steve paid back=7945
loan------------------7000
total interest for 3 years=945
for one year-----------------=315
rate of interest= (315 X 100)/7000= 4.5%
What does -3/8 > −1 indicate about the positions of -3/8 and −1 on the number line?
-3/8 is located on the right of 0, and −1 is located on the left of 0
-3/8 is located on the left of 0, and −1 is located on the right of 0
-3/8 is located on the left of −1
-3/8 is located to the right of −1
Answer:
D
Step-by-step explanation:
because -3/8 is also a neg- so both answers would be on the left of (0) but -3/8 would be closer to (0) than 1 so that means it would be on the right of 1
PLEASE HELPP!!!
Mary is saving money for college expenses. She saves the same amount each month.
The table shows the amount of money Mary has saved after 4 and 7 months.
Answer: a, c, and d
Step-by-step explanation: hard to explain
hope this helped :)
÷6=7 what is the answer
Answer:
42
Step-by-step explanation:
42÷6 = 7
If you want to find out on your own, you can do 6 * 7 and get 42
the sum of the first 10 terms of an AP is four times the sum of the first 5 terms then the ratio of the first term to the common difference is
Answer:
The ratio of the first term to the common difference is 1 : 2
Step-by-step explanation:
The rule of the sum of the AP is
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex] , where
a is the first number
d is the common difference
n is the position of the number
∵ [tex]S_{10}[/tex] = 4 × [tex]S_{5}[/tex] ⇒ (1)
→ Find [tex]S_{10}[/tex] and [tex]S_{5}[/tex]
∵ In [tex]S_{10}[/tex] n = 10
∴ [tex]S_{10}=\frac{10}{2}[2a+(10-1)d][/tex]
∴ [tex]S_{10}=5[2a+9d][/tex]
∴ [tex]S_{10}[/tex] = 10a + 45d ⇒ (2)
∵ In [tex]S_{5}[/tex] n = 5
∴ [tex]S_{5}=\frac{5}{2}[2a+(5-1)d][/tex]
∴ [tex]S_{5}=2.5[2a+4d][/tex]
∴ [tex]S_{5}[/tex] = 5a + 10d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 10a + 45d = 4[5a + 10d]
∴ 10a +45d = 20a + 40d
→ Subtract 40d from both sides
∴ 10a + 45d - 40d = 20a + 40d - 40d
∴ 10a + 5d = 20a
→ Subtract 10a from both sides
∴ 10a - 10a + 5d = 20a - 10a
∴ 5d = 10a
→ Divide both sides by 5
∴ d = 2a
→ That means d is twice a or a is half d
∴ a : d = 1 : 2
The ratio of the first term to the common difference is 1 : 2
Solve the following equation - 2(x-8)=18-3(5x+6)
Answer:
-2(x-8)=18-3(5x+6)
-2x+16=18-15x-18
-2x+15x=18-18+16
13x=16
X=16/13
Answer:
[tex]x=-\frac{16}{13}[/tex]
Step-by-step explanation:
[tex]-2(x-8)=18-3(5x+6)[/tex]
Start by distributing [tex]-2[/tex] into [tex](x-8)[/tex], and [tex]-3[/tex] into [tex](5x+6)[/tex]:
[tex]-2x+16=18-15x-18[/tex]
Combine like terms:
[tex]-2x+16=-15x[/tex]
Subtract [tex]16[/tex] from both sides of the equation:
[tex]-2x=-15x-16[/tex]
Add [tex]15x[/tex] to both sides of the equation:
[tex]-13x=16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-13[/tex]:
[tex]x=-\frac{16}{13}[/tex]
What is the solution to
3x + 7 = x + 13 ?
Answer:
x = 1.5
or
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First, move +7 to the other side of equation on the answer side and change it to it's absolute (in this case I mean negative) value:
3x + x = 13 - 7
Next, Simplify the equation:
4x = 6
Finally, Celebrate! You just (hopefully) learned how to solve this!
x = 1.5
or
x = [tex]\frac{1}{2}[/tex]
Pls Brainliest! It would mean and help a lot! ; )
Write 2x – 3y=8 as a function of x.
A company handles an apartment building with 50 units. Experience has shown that if the rent for each of the units is $760 per month, all of the units will be filled, but 1 unit will become vacant for each $20 increase in this monthly rate. If the monthly cost of maintaining the apartment building is $12 per rented unit, what rent should be charged per month to maximize the profit?
Answer:
$100
Step-by-step explanation:
Which is equivalent to this expression?
54x2y
·
6x
An internal census of the salaries of animals employed by United Pets Inc. shows that the median salary for dogs is considerably lower than the median salary for cats. Further investigation shows that the median dog salary is higher than the median cat salary in every department (Accounting, Finance, Marketing, etc.) of the company. Which of the following is the most satisfactory explanation for this apparent contradiction?
a. The study is based on a small sample size, so the results are heavily affected by random sampling error.
b. Different departments tend to pay different salaries, and dogs are more likely than cats to work in higher-paying departments.
c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.
d. There are many more cats than dogs employed by this company.
e. There are many more dogs than cats employed by this company.
f. There is a very small fraction of cats in each department that earns extremely high salaries compared to everyone else (for example, the chief executives).
Answer:
c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.
Explanation:
The only explanation for difference in median results is that dogs take up jobs in both higher paying departments and lower paying departments while cats take up jobs in only higher paying departments only. In other words the median results for dogs when compared in general would be higher than that of the cats
A monkey sits on a limb that is 25 ft above the ground. He swings up 10 ft, climbs up 6 ft more then jumps down 13 ft. How far off the ground is the monkey now?
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
28cm
Step-by-step explanation:
ive done this question before
Answer:
28 cm
Step-by-step explanation:
This is the answer because:
Perimeter = L + W + L + W
Area = L x W
1) Since the shape is a square, there has to be two of the same factors that multiply.
_ x _ = 49
2) We know 7 x 7 = 49, therefore, w just have to add 7 + 7 + 7 + 7 which equals 28 cm
Therefore, the answer is 28 cm
Hope this helps! :D
out of 8 points the number of straight lines can be formed equal to
draw a diagram to show the ratio 5:3
Answer:
21
Step-by-step explanation:
If the measure of ZFGH is 64º and the measure of ZEGD is (4x+8)°, what is the value of x ?
Answer:
x = 14Step-by-step explanation:
∠EGD = ∠FGH
(4x+8)° = 64°
4x = 64 - 8
x = 56 / 4
x = 14
What is the lowest common multiple of 28 and 72
Answer:
504
Step-by-step explanation:
28, 72 | 2
14, 36 | 2
7, 18 | 2
7, 9 | 3
7, 3 | 3
7, 1 | 7
1, 1 | 1
MMC = 2 . 2 . 2 . 3 . 3 . 7 = 504
What is 0.0052% of 40000?
Rounded to the nearest hundredth.
Answer:
2.08
I just multiplied 0.0052% by 40000 on my calculator
Consider the graphs of f(x) = 5 sin (2x-
x-1) - 9 and g(0) =s sin
in (2x - 5)-9.
Which feature of the graph of g(x) is different from the graph of f(x)?
the period
the amplitude
the phase shift
the vertical shift
Please help
Answer:
The phase shift
Step-by-step explanation:
Answer:
C. the phase shift
Step-by-step explanation:
edge 2020
Three roots of the polynomial equation x^4 - 4x^3 - 2x^2 + 12x + 9 = 0 are 3, -1, and -1. Explain why the forth root must be a real number. Find the forth root.
Hello,
This polynomial function has maximum 4 roots as the degree is 4
and their coefficients are all reals so if one root is a complex number, its conjugate is a root too.
As we know already 3 roots and none of them is a complex number, the fourth one is a real number
And their product is 9 = 3 * 1 * (-1) * (-3) as
[tex](x-x_1)(x-x_2)(x-x_3)(x-x_4)=x^4+...+x_1x_2x_3x_4[/tex]
(The constant term is 9, the product of the roots)
so the last root is -3
Thanks
A wave travels 1/3 mile in 1/20 hour. At this rate, how far will the wave travel in 1 hour?
A wave will travel 6.7 mile in 1 hour.
Given that,
A wave travels 1/3 mile in 1/20 hour.
How to calculate the distance in given time?
To calculate the value of distance at time is given as,
Distance = Speed X Time
To given condition wave travels 1/3 mile in 1/20 hour,
We calculate,
⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{20}[/tex]
Divide a fraction by multiplying its reciprocal,
⇒ [tex]\frac{20}{3}[/tex]
⇒ [tex]6.66667[/tex]
⇒[tex]6.7[/tex] mile
So a wave will travel 6.7 mile in 1 hour.
Learn more about the distance at a given time visit:
https://brainly.in/question/38241305
#SPJ2
PLEASE HELP LAST QUESTION 5 MINUTES LEFT
Answer:
Its to small i cant see it!Step-by-step explanation:
PLEASE HELP AND HURRY ;-;
cant help sorry
oh no
Match the words with their definitions.
1. Reasoning from a sample to a population.
2. Successive observations of a system or phenomenon do not produce exactly the same result.
3. An observation that differs considerably from the main body of the data.
4. The entire collection of objects or outcomes about which data are collected.
5. A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes.
A. Population
B. Sample
C. Statistical Inference
D. Variability
E. Outlier
Answer:
1. Statistical Inference
2. Variability.
3. Outlier.
4. Population.
5. Sample.
Step-by-step explanation:
1. Statistical Inference: Reasoning from a sample to a population. For example, the average common entrance score of all examinees (population l) in New York city or a business that collects data from a random sample of 100 consumers and recorded whether they are male or female.
2. Variability: Successive observations of a system or phenomenon do not produce exactly the same result. For instance, the distribution having the same value of mean can have varying variability.
3. Outlier: An observation that differs considerably from the main body of the data. For example, in the following scores 1, 2, 3, 4, 50, 5, 60; both 50 & 60 is an outlier.
4. Population: The entire collection of objects or outcomes about which data are collected. For example, the number of new born babies in a hospital, the total number of football players in a soccer league.
5. Sample: A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes. For example, the average height of girls in a class having a population of 10 boys and 20 girls.
Which meaning of marked most closely matches its meaning in the following
excerpt?
I need such words from you far more than you can need them from me,
especially where your superior labors and devotion to the cause of the lately
enslaved of our land are known as I know them. The difference between us is
very marked. Most that I have done and suffered in the service of our cause has
been in public...
O Al adjective l having a visible mark
OB. I adjectivel clearly noticeable and evident
C. I verb I make a visible stain
OD. I verb I show the position of
Answer: a
Step-by-step explanation:
-3.7z = 11.6
What is z
Answer:
-116/37
Step-by-step explanation:
Answer:
z = -3.1
Step-by-step explanation:
just divide both sides by -3.7, you get z = -3.135
Given that 5W = 2P + 3R find the value of P when W = 4 and R = −4
Answer:
P = 16
Step-by-step explanation:
Given
5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation
5(4) = 2P + 3(- 4), that is
20 = 2P - 12 ( add 12 to both sides )
32 = 2P ( divide both sides by 2 )
16 = P
What is the quotient if the dividend is 2286 and the divisor is 6
Answer:
381
Step-by-step explanation:
2,286/6=381
Good luck!
Consider rhombus G H I J with diagonals IG and HJ
Answer:
Option (1)
Step-by-step explanation:
Properties of the angles of a rhombus:
1). Diagonals are perpendicular.
2). Opposite angles are equal in measure.
3). Diagonals bisect the angles at the vertices.
Given: m∠GJH = 18°
In ΔGJH,
m∠GJH + m∠GHJ + m∠JGH = 180°
m∠GJH + m∠GJH + m∠JGH = 180° [Since, ∠GJH ≅ ∠GHJ diagonals bisect the opposite angles and opposite angles are equal in measure]
2m∠GJH + m∠JGH = 180°
2(18)° + m∠JGH = 180°
m∠JGH = 180° - 36°
= 144°
Since, opposite angles of a rhombus are equal,
m∠JGH = m∠JIH = 144°
Option (1) will be the answer.
Sharon’s turtle
It’s from her backyard sometime in the last few hours according to her calculations the farthest the turtle could’ve gone is four blocks down the road and other direction you’re showing lives on the 112th block of time which equation can be used to find the black numbers that represent the farthest distance the turtle maybe
Answer:
Step-by-step explanation:
4
Answer:
|x-112|=4
So it’s B.
Town A has an elevation of -13 feet. Town B has an elevation 7 times lower. Write an equation that represents the elevation of Town B.
Answer:
-91
Step-by-step explanation:
7 x 13 is 91