Sam invested a total of $25,000. His first earned 5%
interest and the other earned 6% interest. If Sam earned $1280
interest in one year, how much did he invest in each investment?
Logan borrowed $24,318.79 and will have to repay a total of $27,174.25. How much interest will he pay?
Answer:
$2855.46
Step-by-step explanation:
$27,174.25 - $24,318.79= $2855.46
p(x) = 3x + 4
q(X) = 2x^2
Find a(p(x))
Answer:
0
Step-by-step explanation:
ap/2
(2x + 5)(2x + 1)
What is the area as a sum when given as a product?
Answer:
i really have no clue what ur asking so i will solve this the way i know how to
Step-by-step explanation:
4x^2+12x+5
identify is this is percent increase or percent decrease, then calculate percentage
Last year the Chess club had 30 members. This year the club has 24 members.
Please help asap
Last year the chess club had 30 members. This year the club has 24 members.
Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.
To find the percent decrease, you have to use the following formula.
[tex]\frac{Difference}{Original} \times 100[/tex]
Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.
Substitute the numbers into the formula.
[tex]\frac{Difference}{Original} =\frac{6}{30} =0.2[/tex]
To convert the decimal to a fraction, multiply the decimal by 100.
[tex]0.2 \times 100 = 20 \%[/tex]
The answer is the number of chess members decreased by 20%.
____
Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.
____
Answer:
Decreasing
Step-by-step explanation:
The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!
the slope of the line...................
Answer:
Y=0/0
Step-by-step explanation: since their is no fall or rise in the slope it is 0
Match the following items.
Given:
bisectsRTS
R ≅S
Prove:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S
2. ∠1 ≅ ∠2
3. Segment TQ ⊥ Segment RS
4. Triangle RTQ congruent to Triangle STQ
5. ∠3 ≅ ∠4
6. TQ ≅ TQ
a. Definition of perpendicular.
b. Given
c. AAS
d. CPCTE
e. Definition of angle bisector.
f. Reflexive
Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
Answer: Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
The table represents some points on the graph of a linear function.
х
-7.5
-3.5
-1
2
3.5
у
12
0
-7.5
-16.5
-21
Which function represents the same relationship?
Answer:
y=-3x-10.5
Step-by-step explanation:
Let's use the first set of numbers.
-7.5 and 12
-3.5 and 0
Our rise here is -12 and run is 4. So, our slope is -3.
Now we just need our intercept.
y = mx + b
y = -3x + b
0 = -3(3.5) + b
b = -10.5
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table represents some points on the graph of a linear function.
х у
-7.5 12
-3.5 0
-1 -7.5
2 -16.5
3.5 -21
Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,
y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)
y = - (1/3)(x + 3.5)
3y = - x - 3.5
x + 3y + 3.5 = 0
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
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helppppppppp will give brainliest
Answer:
I would say about 13 minutes.
Step-by-step explanation:
9 4/5 KPH is about 6.1224489795918 Kilometers per minute
Multiply by 2 1/5 KPM
6.1224489795918 x 2 1/5 = 13.4693877551 Minutes
Answer: 13.469 or about 13.5 minutes
Step-by-step explanation:
Estimating part:
The first number can be rounded to 10, and second number to 2
You can set up a proportional equation
[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]
then cross multiply to get 10x=120, then divide to get x = 12 minutes
Exact answer:
I like making fractions into decimals to make it easier to see
The first number as a decimal is 9.8, and the second is 2.2
Set up another proportional equation
[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]
cross multiply to get 9.8x = 132
divide by 9.8 on both sides to get x = 13.5 minutes
Solve the equation for x 6x-18-3x<27-2x
Answer:
x<9
Step-by-step explanation:
Which is NOT a common denominator for 2/3 and 1/2 ?
A. 18
B. 12
C. 6
D. 3
Answer:
D: 3
Step-by-step explanation:
2 is not a factor of three
The number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole. The number of components of a specific size is expressed as a fraction.
The fractions will have all the numbers 18, 12, and 6 as the common denominator but can not have 3 as a common denominator.
Therefore, the number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.
To know more about fractional expression follow
https://brainly.com/question/78672
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4. What is the sum of trigonometric ratios Cos 16 and Cos 74?
A. 0.276
B 0.961
C. 1.237
D. 1.922
5. In triangle ABC , Tan angle A=3/4 . The hypotenuse of triangle ABC is
A 3
B 4
C. 5
D. 9
6. In triangle ABC , Sin angle B=14/17 . The hypotenuse of triangle ABC
A. 14
B17
C. 2sqrt(485 )
D. 0.824
7. In triangle ABC , Cos angle C=22/36 . The hypotenuse is
A, 22
B. 36
C.0.611
D. 2sqrt(445)
Answer:
1254.32
Step-by-step explanation:
add and subract
in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted
Answer: 21
Step-by-step explanation:
Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.
Since, 108 = 2 x 2 x 3 x 3 x 3
84 = 2 x 2 x 3 x 7
60 = 2 x 2 x 3 x 5
HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]
= 12
Greatest number of plants in each row = 12
Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]
Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]
Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]
Total rows = 9+7+5= 21
Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted = 21
Help me please find x to this answer I'm very desperate.
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1
on the number line between two consecutive whole numbers would square root of 7 be located at
Answer:
see explanation:
Step-by-step explanation:
We use the property that (all numbers being positive)
0 < a < b < c --> 0< a^2 < b^2 < c^2
so:
1 < 2 < sq(7) < 3 < 4 < 5
1 < 4 < 7 < 9 < 16 < 25
I totally need help, (I just wanna see who will join)
It works :)
kte-diym-hvy
Answer:
I’m joining rn does it still work?
Step-by-step explanation:
What is the equation of the line that passes through the point (5,-7) and has a
slope of zero?
Answer:
y=-7
Step-by-step explanation:
With a slope of zero there will be no x so you delete the slope from the equation y=0x-7 would become y=-7.
Answer:
Answer
5.0/5
8
inchu420
Ace
992 answers
451K people helped
Answer:
y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.
Step-by-step explanation:
Given:
Let,
A ≡ ( x1 , y1 ) ≡ ( -2, 7 )
Slope = m = 0
To Find :
Equation of Line:
Solution:
Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by
Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,
Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero
Step-by-step explanation:
Hi hope your having a good day please answer this
17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.
A. similar figures
B. scale factor
C. scale
D. congruent figures
Answer:
A
Step-by-step explanation:
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10
Answer:
The simplified form is [tex]\frac{6}{5x^{10} }[/tex] ⇒ A
Step-by-step explanation:
To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the rootLet us solve the question
∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]
→ At first, divide simplify the coefficient of the variable
∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]
∵ 36 = 6 × 6 and 25 = 5 × 5
→ 6 and 5 repeated twice then the can go out the root one 6 and one 5
∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]
→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]
∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]
→ To cancel the root divide the power by 2
∵ -20 ÷ 2 = -10
∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]
→ To change the power of x from (-) to (+) reciprocal x
∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]
∴ The simplified form is [tex]\frac{6}{5x^{10} }[/tex]
The graph represents the relationship between the cost of renting a trailer y for x hours,, please help
Answer:
The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship ⇒ C
Step-by-step explanation:
The relationship between x and y are proportional if [tex]\frac{y}{x}[/tex] = k, where k is a constantThe proportional relation represented graphically by a line passes through the origin pointLet us use the information, above to solve the question
→ From the given graph
∵ The coordinates of the points are (1, 10), (2, 20), (4, 25), (6, 40)
∵ The equation of proportion is [tex]\frac{y}{x}[/tex] = k
→ Let us check if all the points satisfy the equation or not
∵ x = 1 and y = 10
∴ [tex]\frac{10}{1}[/tex] = k
∴ 10 = k
→ Check the other points if they give the same value of k or not
∵ x = 2 and y = 20
∴ [tex]\frac{20}{2}[/tex] = k
∴ 10 = k
∵ x = 4 and y = 25
∴ [tex]\frac{25}{4}[/tex] = k
∴ [tex]\frac{25}{4}[/tex] = k
∵ x = 6 and y = 40
∴ [tex]\frac{40}{6}[/tex] = k
∴ [tex]\frac{20}{3}[/tex] = k
∵ Not all points satisfy the same value of k
∴ The relation does not represent a proportional relation
The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship.
Do these side lengths make a triangle?
6, 10, 15
Answer:
No.
Step-by-step explanation:
They do not create a triangle because if you follow the expression: a^2+b^2=c^2 it does not equal. Hope I helped :)
Answer:
a^2 + b^2 = c^2 - Pythagorean Theorem
6^2 + 10^2 = 15^2
36 + 100 = 225
136 doesn't equal 225
So, no, the sides lengths don't make a triangle.
express 2.65 as a mixed number in the lowest terms
Answer:
2 13/20
Step-by-step explanation:
Answer:
2 13/20
Step-by-step explanation:
we can split up 2.65 into a whole number and a decimal
2.65
= 2 + 0.65 (note that 0.65 = 65/100)
= 2 + 65/100
= 2 65/100 (we can see that both numerator and denominator are multiples of 5, hence we can try to simply by dividing both numerator and denominator by 5)
= 2 (65÷5) / (100÷5)
= 2 13/20 (answer)
The taxi fare in monopolis city is $1.50 for the first mile and additional mileage charged at the rate of $0.25 for each additional ½ mile. how many miles can you do for $10.00
Answer:
5
Step-by-step explanation:
if you add $1.50 +50 cents its $2.00 count by 2's until you get
to 10 and thats 5 how i got 50 cents 25 cents for a half mile
25+25 is 50.
BRAINLIEST!!!!
Question: A group of workers is harvesting berries at a constant rate. An equation that represents the total number of baskets of berries the workers picked over a period of time, in hours, is y = 7x + 15.
A) What are the slope and the y-intercept for the equation?
B) Which term represents the total number of baskets of berries the workers picked over a period of time?
C) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
Answer:
(a) The slope and the y-intercept are 7 and 15
(b) y represents the total number of baskets of berries the workers picked over a period of time
(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets
Step-by-step explanation:
Answer:
A. the slope of the equation is 7 and y-intercept is 15
B. the term "y" represents the total
C. The rate of change is 7x and the initial amount is 15. The rate of change means the "thing" (or variable) that keeps on changing and here it is the 7x. This means that every hour, the workers pick 7 baskets and this number will change based on the hours, which can is represented by the x. The 15 is our initial amount of baskets we had before starting because it is unchanging, it is our initial amount.
Explanation for A & B:
A. This equation is written in slope-intercept form which is, y=mx+b the slope is represented by the "m" and the y-intercept is represented by the "b". In simpler words, slope=m and y-intercept=b
B. When we take our given amount which is 15 baskets (y) and add it to our slope (7x) or the amount that changes based on time
we will get our total y, which represents the total amount of baskets
given g(x)=-3x-4 what is the x value when g(x)=2
Answer:
x= -2
Step-by-step explanation:
2= -3(x)-4
6= -3x
-2= x
get a........................
How can you find the area of a shape with fractional or decimal side lengths?
Answer:
You convert the fractions to a decimal, nut the rest is still the same
Step-by-step explanation:
Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour
Answer:
64
Step-by-step explanation:
Given m|n, find the value of x.
Answer:
x = 135°Step-by-step explanation:
external angles are equal
therefore, x = 135