Answer:
Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
Step-by-step explanation:
Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:
10,000 x 0.08 + 0 x 0.12 = 800
8,000 x 0.08 + 2,000 x 0.12 = 880
4,500 x 0.08 + 5,500 x 0.12 = 1,020
6,000 x 0.08 + 4,000 x 0.12 = 960
6,500 x 0.08 + 3,500 x 0.12 = 940
6,400 x 0.08 + 3,600 x 0.12 = 944
Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498.
Answer:
Justin's salary will be $1048 when he sells $3400 worth of merchandise.
Step-by-step explanation:
If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,
y = B + C(x)
Here y = Monthly pay
B = Base pay
C = percentage of commission
x = Amount of sales done
If he sells $500 worth of merchandise in a month, he earns $410,
410 = B + C(500) -----(1)
If he sells $900 worth of merchandise in a month, he earns $498,
498 = B + C(900) ------(2)
By subtracting equation (1) from equation (2),
498 - 410 = 900C - 500C
88 = 400C
C = [tex]\frac{88}{400}[/tex]
C = 0.22
From equation (1),
410 = B + 0.22(500)
B = 410 - 110
B = $300
Therefore, expression for the monthly earning will be,
y = 300 + 0.22(x)
Justin's salary when he sells $3400 worth of merchandise in a month,
y = 300 + 0.22(3400)
y = 300 + 748
y = $1048
Therefore, Justin's salary will be $1048.
What is a name for the marked angle?
Picture given
Answer:
L DAC
Step-by-step explanation:
__________________
Solve for x. Round to one decimal place.
I keep messing this one up and im timed
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides: 6tan70° = xRewrite: x = 6tan70°Evaluate: x = 16.4849Round: x ≈ 16.5lol help pleas jdcbfjvbcjvdj
Answer:
C is your correct answer
Step-by-step explanation:
just multiply it together then you get 70.51
Find the difference of the numbers. Express your answer in scientific notation.
(9.84 x 100)-(7.99x109)
1.85 x 10^9
9.041x 10^
1.85 x 10^10
9.041x 10^10
Answer:
D: 9.041 × 10^(10)
Step-by-step explanation:
The correct expression is;
(9.84 × 10^(10)) - (7.99 × 10^(9))
To subtract this, we need to ensure that both terms have the same powers.
Thus, (7.99 × 10^(9)) = (0.799 × 10^(10))
Lets now solve;
>> (9.84 × 10^(10)) - (0.799 × 10^(10))
Collecting like terms we have;
(9.84 - 0.799) × 10^(10)
>> 9.041 × 10^(10)
What is the value of y ?
Answer:
67
Step-by-step explanation:
Answer.
67°
Step-by-step explanation:
the two lines are parallel so,
angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.
therefore, angle y= 67°
i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.
Edmund and Lucy go to a toy shop. Edmund does not have enough money to buy the toy he wants. He says to Lucy, 'If you give me ₹ 40, I can buy my toy. But you will have ₹ 10 less to buy your toy." How much money does Lucy have?
Answer and explanation:
Assuming Edmund has $0
From Edmund, we know the toy costs $40(assuming it's in dollars)
Lucy gives him $40 and has $10 less($40-$10) to buy her own toy
Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.
Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy
Work out the size of angle x?
Please need answer ASAP thanks!!!
Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?
Answer:
Both plans are correct
Step-by-step explanation:
I already did it
Why did the framers of the Constitution include the concept of limited government?
to promote business
to help the legislative branch
to help the judicial branch
to prevent tyranny
Answer:
to prevent tyranny
Step-by-step explanation:
the government was weak so the founding fathers decided to write it.
Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40
What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = \frac{1}{9} \times 9\\[/tex]
[tex] = \frac{9}{9} \\[/tex]
[tex] = \frac{1}{1} \\[/tex]
[tex] = 1\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
I will give brainliest if you add details:
A recent study asked the same 15 students their favorite subject at three different times: in elementary school, in middle school, and when getting ready to graduate from high school.
What percentage of students said that Math was their favorite subject in elementary school?
What is the percent of change for History being the favorite subject between elementary school and graduating from high school?
Answer:
53 1/3% for the first answer, and 33 1/3% increase for the second answer
Step-by-step explanation:
Ok, lets start up witht eh first question.
We need to find the percentage of studens that find math the be their favorite subject in elementary school.
We know that there are 15 kids in total.
We specificly see that 8 of those kids like math the most.
To find percentage, divide 8 by 15.
Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.
Next we need to find the percentag eof change that history is over elementary school to high school.
This might sound confusing, but this is basically just a change of 3 students to 4 students.
To find percentage, just divide 3 by 4:
This gets you 33 1/3%
Hope this helps!
Find the product.
-1/2 y(2y^3-8)
Answer:
Its the last one
Step-by-step explanation:
-1/2 y(2y^3+8) is
-1 y^4 + 4 y
add the following decimals
Answer:
148.91
Step-by-step explanation:
hope it helps<333
Which statement is true regarding the graphed functions?
Answer:
they intersect at 0,-2
Use completing the square to solve this quadratic equation. Check all that apply.
x + 10x + 25 = 2 D
A. x = 5+ m2
B. x = 5 - 12
C. x= -5 +_2
D. x= -5-2
Answer: x= -5+ 2 squared.
Step-by-step explanation:
josh desposited $1,500 into an account that earns 6% simple interest every year. how much money would be in his account after 20 years ?
Answer:
Step-by-step explanation: example:
Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result: The principal was $500.
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
What is the domain of this function?
O {x|x>0}
O {xlx<8}
O {x|0 < x <8)
O {xlx<0x 8)
Given:
Consider the below figure attached with this question.
To find:
The domain of the graphed function.
Solution:
Domain is the set of input values or x-values.
From the given graph it is clear that the function has one end point at (0,9) and an arrow at (8,1). It means it is not a line because it is a ray that moves further from point (8,1) in the downward direction.
The minimum value of x is 0 and their is no maximum value of x because graph of the function is a ray. So, the domain of the given function is:
[tex]\text{Domain}=\{x|x\geq 0\}[/tex]
Therefore, the correct option is A.
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Step 1: (3x3 – 15x2) + (–4x + 20)
Step 2: 3x2(x – 5) + 4(–x + 5)
Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?
Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
ITS D !!!!
Step-by-step explanation:
got it right on test
I need help with this
7/10= 28/40
5/8=25/40
0.8=4/5=32/40
32>28>25
So 0.8>7/10>5/8
help help help help help
Answer:
soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.
Find the value of x to the nearest tenth. A. 26.3 B. 5.7 C. 9 D. 8.6
Answer:
C
Step-by-step explanation:
you have the angle, adjacent and you want to find the hypotenuse
therefore use CAH - (I drew the triangle on the bottom of the attachment )
length of A / cos(angle) = hypotenuse
7 / cos(39)=9.007
Answer:
C: 9 to the nearest tenth
Step-by-step explanation:
You have three choices on your calculator to solve this problem. Only 1 of the three will work.
Sin(39)
Tan(39)
Cos(39)
You want the hypotenuse (x) and you are given the adjacent side. The adjacent side is the other side that makes up the reference angle other than the hypotenuse.
Cos(theta) = adjacent side / hypotenuse. The is the function you use.
Adjacent side = 7
Cos(39) = 7 / x Multiply both sides by x
x * Cos(39) = 7 Divide by Cos(39)
x = 7 / Cos(39)
x = 9 Isn't that neat? It is actually 9.0073. but C is the answer.
Graph the picture nes whose equation is 2y=-3x-2
Answer:
Picture Below
Step-by-step explanation:
You can simplify it by dividing it into
y = -1.5x-1
Substitute (2, 1) into x + 3y = 5 to get ✔ 2 + 3(1) = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get ✔ 1 = –(2) + 3 . Simplify the equation to get .
Answer:
See explanation
Step-by-step explanation:
A
x + 3y = 5
(x, y) = (2,1)
x + 3y = 5
2 + 3(1) = 5
2 + 3 = 5
5 = 5
The equation is true
B.
y = –x + 3
(x, y) = (2, 1)
y = –x + 3
1 = -2 + 3
1 = 1
The equation is true
On a piece of paper, graph f(x)= x if x<1
1 if x ⩾1.
Then determine which answer choice matches the graph you drew.
Answer:
A.
Step-by-step explanation:
baj si ud fbs owo ehnf ko wj bd
The function is plotted and is attached.
What is a function?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (dependent).
It is given in the question that
f(x) = x if x <1
1 if x>_ 1
The graph of above function is attached below,
For domain x > 1, f(x)=x
For domain, x≥ 1, f(x)=1
When we see the graph that have been plotted on the basis of domain, Option D is the correct graph similar to one in the image attached.
To know more about Function
brainly.com/question/24748644
#SPJ7
Select the correct answer. Which statement describes ? A. It is an irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because it is negative.
Answer:
the answer is c okay g;)
Step-by-step explanation:
hope this helps
A man borrows Rs. 50000 at 12% p.A., compounded half-yearly. He pays back Rs. 18000 at the end of every six months. Calculate the third payment, he has to make to clear the entire loan
Answer:
Rs. 20246
Step-by-step explanation:
According To the Question,
Given, A man borrows Rs. 50000 at 12% per Annum(compounded half-yearly). Thus the Rate of Interest for 6 months would be 6%. Now, He pays back Rs. 18000 at the end of every six months.Thus, the third payment, he has to make to clear the entire loan.
First-Payment = ( 50000 x 1.06 ) - 18000 ⇔ 35000 Rs.
Second-Payment = (35000 x 1.06) - 18000 ⇔ 19100 Rs.
Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.
18⅔ ÷ ⅔
how many children are there?
828279292992+92827299÷828×9182
Answer:
Hi, there the answer is 8.29308689E11
Step-by-step explanation: