Answer:
Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
Step-by-step explanation:
Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:
100 - 28 = 72
8,600 x 0.72 = X
6.192 = X
Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
Find the value of each variable and the measure of each labeled angle (2x) (3x-42)
Step-by-step explanation:
Head opposite angles
2x= 3x-42
x= 42°
the angles are 84°
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.
(2x)° = (3x - 42)°
2x = 3x - 42
Subtract 2x from both sides of the equation and add 42 to both sides of the equation,
2x - 2x + 42 = 3x - 42 - 2x + 42
42 = 3x - 2x - 42 + 42
42 = x
Therefore, the value of x is 42. Now, the measure of each angle can be written as,
(2x)° = 2(42) = 84°
(3x - 42)° = 3(42) - 42 = 84°
Hence, the value of x is 42 and the measure of the two given angles is 84° each.
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Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
NOTE: Angles not necessarily drawn to scale.
PLEASE HELP I WILL MARK BRAINLIST
Answer:
47
Step-by-step explanation:
133+133=266
360-266=94
94/2=47
I think hopefully!
HELP ME PLZ !!! IT'S ALGEBRA
Answer:
x = - 8/23
y = 40/23
Step-by-step explanation:
-5x- y = 0
and
-8x+3y = 8
The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.
-5x-y = 0
-y = 5x
y = - 5x
Now you can take this y value and plug it into the section equation.
-8x + 3(-5x) = 8
-8x - 15x = 8
-23x = 8
x = - (8/23)
Once you get the x value you can plug it back into equation one to get y's value
-5*-(8/23) - y = 0
40/23 - y = 0
y = 40/23
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Find the length of x.
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
911÷406 con operaciones
Answer:
2.24384236453
Step-by-step explanation:
division/división
Answer:
Step-by-step explanation:
2.24384236453 divicion y divicion
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
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7 is 1/10 of
pls help and thank you :)
7 is 1/10 of 70. You can figure this out by multiplying 7 by 10
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
Can somebody pls help me out wit dis
Answer:
i can't see it
Step-by-step explanation:
Answer:
a. x is equal to the number of sweat shirts made
b. $1100 is I think the base cost it takes to produce shirts
c. x=30
d. $5845
hope I helped.
Step-by-step explanation:
a. context
b. if x=the number of sweat shirts made then 65×x means that it costs $65 to produce one shirt and in that case to make any shirts it would cost $1100 to get the process set up so that they can make the shirts.
c. if c(x)=3050 then that means that that is the total cost to make all the shirts they made at that time. We know x is the number of shirts and because of that we want to solve for x. to do that we need to isolate x, the first step would be to take 3050 and sub that into the first equation
3050=1100+65x
subtract 1100 from both sides
3050-1100=65x
1950=65x
divide both sides by 65
1950÷65=x
simplify
30=x
d. you take the equation at the top c(x)=1100+65x and sub in 73 for x.
1100+(65×73)
simplify
1100+4745=5845
What do you get when you plug 4 in the following function?
Answer:
567
Step-by-step explanation:
It will become:
y = 7(3)^4
y = 7 * 81
y = 576
Answer:
Y = 567
Step-by-step explanation:
Y=7(3)(3)(3)(3)
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
I need help with this. Please!
Write and simplify an expression for the area of the rectangle. Write the SIMPLIFIED answer in the text box.
Answer:
gff
Step-by-step explanation:
rwsnuggdfvg
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how
many people there are in total.
Answer:
104
Step-by-step explanation:
The ratio of boys : girls = 3 : 1 = 3x : x ( x is a multiplier )
There are 52 more boys than girls , so
3x = x + 52 ( subtract x from both sides )
2x = 52 ( divide both sides by 2 )
x = 26, then
3x = 3 × 26 = 78 ← number of boys
Total number = 78 + 26 = 104
Find the area of the triangle
19cm
15cm
12cm
Answer:
Step-by-step explanation:
can you help me please
Answer:
25/6
Step-by-step explanation:
Write an equation in slope-Intercept form from the polnts (-4,-2) and (-3,5)
y = 1/7x
y = 1/7x + 26
y = 7x + 26
x = 7y + 26
Answer:
y=7x+26
Step-by-step explanation:
First we have to find the slope of the lines.
(-4,-2)
(-3,5)
Our slope is going to equal 7
then we take a point and use it to find the equation
y--2=7(x--4)
y+2=7x+28
y=7x+26
The sales tax in your city is 8.8 and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
HELP PLEASE CHECK MY ANSWER!!!
Answer:
its almost correct but its just a little bit off
Step-by-step explanation:
1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.
2. on the left side its going to be right before -2.
3. on the bottom its going to be moved down to -18 and a little bit out going to the right.
the picture is right there hope it helped
expand and simplify (X+7) (x-2)
Urgent please my teacher threatened me with an axe
Answer:
x²+5x-14
Step-by-step explanation:
expand out the brackets:
x²-2x+7x-14
simplify:
x²+5x-14
Evaluate the expression.
–3×(6– -6÷3)
PLEASE HELP
-24 i hope this is right
Answer:
−24
Steps for answer:
1. Simplify 6÷3 to 2.
−3×(6+2)
2. Simplify 6+2 to 8.
−3×8
3. Simplify
−24
The diameter of a circl
10. d = 6.7 in.
1 1/2×(−6/15) Not a big math person what is this?
Answer:
11/2×(-6/15)
=-11/2×6/15
=-11×3/15
=-11×1/5
=-11/5
eighteen is equal to the product of a number (n) and 9
eighteen is equal to the product of a number 9 and 9
