Hey!
so for the first one its 60°, and for the second one its 1/6
Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?
Answer:
Kindly check explanation
Step-by-step explanation:
Total principal invested = $15000
Investment x at 4% (0.04)
Investment y at 3.5% = 0.035
Investment z at 8% = 0.08
z investment = 2x
Total interest earned = $845
Simple interest = principal * rate * time
y * 0.035 + x * 0.04 + 2x * 0.08 = 845
0.035y + 0.2x = 845 - - - (1)
y + x + 2x = 15000
3x + y = 15000 - - - - (2)
y = 15000 - 3x
0.035(15000 - 3x) + 0.2x = 845
525 - 0.105x + 0.2x = 845
525 + 0.095x = 845
0.095x = 845 - 525
0.095x = 320
x = 320/0.095
x = 3368.42
Z = 2x
Z = 2 * 3368.42 = $6736.84
y = 15000 - 3(3368.42)
y = $4894.74
Find the x-intercept of the graph of y = -10x - 36
The x-intercept is_____
Select the expression that is equivalent to 4x2 – 25.
Help
Answer:
Factor form: (2x-5)(2x+5)
If you olny simplify: 8x-25
Step-by-step explanation:
In the fraction 11/12 the_is 11
Answer:
numerator
Step-by-step explanation:
.,.............
Adrian bought 20 chicken wings for $44.00. How much does each wing cost?
Answer:
my crushes name is Adrian but the answer is $2.20
Step-by-step explanation:
Can some one PLEASE answer these for me? (I’ll also mark you brainliest!)
Answer:
0.83
Step-by-step explanation:
Answer:
0.83 A
Step-by-step explanation:
How do I turn a equation to factored form
Answer:
what equation is it?? bc it's important to know witch one
What is the equation of the line perpendicular to y =1/2x+3 passsing through the point (-3,4)?
Answer:
y = -2x + 10
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal of the original line.
1/2 -> -2/1 -> -2
Solve for the new y-intercept using the point we are given.
y = 2x + b
4 = 2(-3) + b
4 = -6 + b
10 = b
Fill in everything we solve for in slope-intercept form [ y = mx + b ]
y = -2x + 10
Best of Luck!
Answer:
y=-2x-2
Step-by-step explanation:
using Desmos you can see that both equations pass through the point (-3,4)
Estimate this by rounding each number to 1 significant figure
a. 326 X 4.89
find the answer of x+3=9
Answer:
6 is answer
Step-by-step explanation:
x+3=9
or, x=9-3(because we have to change sign)
therefore, x=6ans//
Answer:
= x+3=9
= x=9_3=6
= x=6
Step-by-step explanation:
ANSWER
VALUE OF X =6
The midpoint of \overline{\text{AB}}
AB
is M(-5, -2)M(−5,−2). If the coordinates of AA are (-3, 4)(−3,4), what are the coordinates of BB?
Answer:
The coordinates of b are: B=(-7,-8)
Step-by-step explanation:
We are given the coordinates of the midpoint of [tex]\overline{\text{AB}}[/tex] as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
[tex]\displaystyle x_m=\frac{x_a+x_b}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_a+y_b}{2}[/tex]
We know xa=-3 and xm=-5. Solve the first equation for xb:
[tex]2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a[/tex]
Substituting:
[tex]x_b=2\cdot (-5)-(-3)=-10+3[/tex]
[tex]x_b=-7[/tex]
We can solve the second equation for xb and get:
[tex]y_b=2y_m-y_a[/tex]
Since ya=4 and ym=-2, then:
[tex]y_b=2\cdot (-2)-(4)=-4-4[/tex]
[tex]y_b=-8[/tex]
Thus, the coordinates of b are: B=(-7,-8)
what 2 numbers does 10 fall between
Answer:
9 and 11
Step-by-step explanation:
Answer:
1 and 11
Step-by-step explanation:
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
Answer:
d+m=120
d=2m
Step-by-step explanation:
The book contains 200 thin sheets of paper.
The student wants to find the average mean, thickness of a sheet of paper in the book
Describe how he can determine such a small distance using only a ruler.
Answer:
Measure all the sheets together and divide by 200
Step-by-step explanation:
An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
see below
Step-by-step explanation:
The rate of change is
f(x2) - f(x1)
------------------
x2-x1
Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1
Let x=0 and x=2
f(2) - f(0)
-------------
2-0
4-2
-------
2
2/2
1
The rate of change is 1
1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
fraction where required.
a) 4^-2
Answer:
Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.
Step-by-step explanation:
Hope this helps!
Cindy can waterproof 400 ft2 of decking with 2 gallons of sealant. How many gallons should Florence buy for a 1200 ft2 deck?
Group of answer choices
Florence should buy 6 gallons of sealant for 1200 ft² of decking.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, 400 ft² of decking requires 2 gallons of sealant.
400 ft² = 2 gallons
400 ×3 ft² = 2 × 3 gallons
1200 ft² = 6 gallons
Hence, Florence should buy 6 gallons of sealant for 1200 ft² of decking.
To learn more about ratios, click here:
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Action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection?
Answer:
64 DVDs
Step-by-step explanation:
25% = 16 DVDs
25%x 4 = 16x 4
100% = 64 DVDs
If action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64
First step is to convert the decimal to fraction
16÷24÷100
Second step is to reduce the fraction
16÷1÷4
Third step is to divide the fraction by multiplying its reciprocal in order to determine how many DVDs does Sara have in her collection
16×4
=64
Inconclusion if action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64
Learn more here:
https://brainly.com/question/1087213
The items Pedro has selected at his local hardware store have a total cost of $130 before tax. If the sales tax is 8.25%, which is closest to the amount of sales tax Pedro can
expect to pay?
Answer: $10.7
Step-by-step explanation:
The following can be deduced from the question:
Total cost of items = $130
Percentage of Sales tax = 8.25%
Sales tax = Sales tax percent × Cost
Sales tax = 8.25% × $130
Sales tax = 8.25/100 × $130
= 0.0825 × $130
= $10.725
= $10.7
which geomic principle is used to justify the construction below?
Answer:
where are the answers because this sounds like a multiple choice
Step-by-step explanation:
6 of 12
Sam had a bank account balance of $32. He deposited $28 into his account
Which statement is true about his balance after making the deposit?
A
His balance will be less than $32
B
His balance will be greater than $28.
С
His balance will be between S0 and $28
His balance will be between $32 and $0
Answer:his balance will be between 0 and 28
Step-by-step explanation:
salma cut a wire into 4 equal pieces. the wire was originally 7.88 meters long. how long is each piece?
Answer:
1.97 meters long
Step-by-step explanation:
divide meters by pieces
Please make me Brainliest
The length of each piece is 1.97 meters.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of the wire = 7.88 meters
Number of wire cut into equal pieces = 4
The length of each equal piece.
= 7.88 ÷ 4
= 7.88/4
= 1.97 meters
Thus,
The length of each wire is 1.97 meters.
Learn more about expressions here:
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PLZ HELP ME
8.9 x 10 EXP -5
4.41 x 10 EXP -2
0.000009 in scientific notation
Answer:
8.9 x 10^-5 = 0.000089
4.41 x 10^-2 = 0.0441
0.000009 = 9 x 10^-6
Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Deanna estimated better last year.
The percent error for this year was higher. Deanna estimated better last year.
The percent error for this year was lower. Deanna estimated better this year.
The percent error for this year was higher. Deanna estimated better this year.
Answer:
The percent error for this year was higher. Deanna estimated better last year.
Step-by-step explanation:
Answer:
Step-by-step explanation:
6jkyuilyi
Evaluate 2a^2-b^3 for a = 4 and b=-3
Answer:
59
Step-by-step explanation:
2a^2 - b^3
a = 4, b = -3
substitute in the given values and solve
2*4^2 - -3^3
remember the order of operations, exponents first
2 * 4^2 - - 3^3
= 2 * 16 - - 27
simplify
2 * 16 - -27
=32 - - 27
= 32 + 27
= 59
Write the expression as a simplified rational expression. Show your work.
(6x+2)/(1/x + 1/(2x+1))
Answer:
Answer:
4x^2 + 2xStep-by-step explanation:
(6x+2)/(1/x + 1/(2x+1))= 2(3x + 1)/((2x + 1 + x)/x(2x+1)) =2(3x + 1)x(2x+1)/(3x+1) = 2x(2x + 1) = 4x^2 + 2xAnswer:
4x^2 + 2x
Step-by-step explanation:
i just did this
solve for x please
Answer: 53°
Step-by-step explanation: If two parallel lines are cut by
a transversal, then same-side interior angles are supplementary.
So if we know one of our angles measures 127,
our other angle will measure 180 - 127, which is 53.
So x is 53 degrees.
Remember, whenever you have two parallel lines cut by a transversal,
same-side interior <'s are supp. or the sum of their measures is 180 degrees.
GIVING BRAINLIEST, THANKS AND FIVE STARS TO RIGHT ANSWER! HAVE A GREAT DAY THANK YOU :D
Which of the multiplication properties is shown?
16 × 27 = 27 × 16
Zero Property of Multiplication
Identity Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
Answer:
commutative property of multiplication
Step-by-step explanation:
Answer:
The correct answer is the Commutative Property of Multiplication
Step-by-step explanation:
The Zero Property of Multiplication states that the product of two nonzero elements is nonzero.
The Identity Property of Multiplication states that the product of 1 and any number is that number.
The Commutative Property of Multiplication states that the order in which we multiply numbers does not change the product.
The Associative Property of Multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.
What is the graph for y=3(x-1)^2
Answer:
I attached it
Step-by-step explanation:
helppppppppp pls
yhghfhcgfvg
Answer:
Length of the side is 10 for a
Each side for b is 3
Step-by-step explanation:
Answer:
50 and the second one is 3
Step-by-step explanation:
to get the length from each side the area divide the area by 2 and to get the length for each side from the total perimeter then divide by 4