Answers
Answer:
y=-5x+9
Step-by-step explanation:
y=-5x+b
y=4 x=1
4=-5(1)+b
9=b
Related Questions
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?
Answers
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.
Learn more about compound interest here:
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Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?
Answers
Answer:
only 0
Step-by-step explanation:
8g < 4 simplifies to g < 4/8, i.e., g < 1/2
only 0 is smaller than 1/2
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
Answers
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
Find the length of x.
Answers
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
15 pints because 2 questions
Answers
Answer:
1.its B
2.G
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
Answers
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
Find the value of each variable and the measure of each labeled angle (2x) (3x-42)
Answers
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.
Learn more about Vertical Angles here:
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solve the equation 2000(x-0.03) = 6000 for x.
Answers
Answer:
x=303/100 = 3 3/100= 3.03
Step-by-step explanation:
NOTE: Angles not necessarily drawn to scale.
PLEASE HELP I WILL MARK BRAINLIST
Answers
angles are supplementary so they add to 180.
180-133=47
Answer:
47
Step-by-step explanation:
133+133=266
360-266=94
94/2=47
I think hopefully!
Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?
Answers
Answer:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
4 months = 1/3 years
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]
$120,000 in 1 year
5years, 120,000×5 = $600,000
Answer:
here u go
Step-by-step explanation:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
eighteen is equal to the product of a number (n) and 9
Answers
eighteen is equal to the product of a number 9 and 9
The diameter of a circl
10. d = 6.7 in.
Answers
How does the expression |9 -(-5)| relate to the numbers
-5 and 9 on the number line?
A) The expression shows that 9 is greater than -5.
B)The expression shows that -5 is to the left of 0
and 9 is to the right of 0 on the number line.
C) The expression represents the sum of -5 and 9.
D)The expression represents the distance between
-5 and 9 on the number line.
Answers
Answer:
to me B makes the most sense
Step-by-step explanation:
hope this helps :)
Can someone help me with this ?
Answers
Answer:
remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3
the second problem 3x3x3 × 3
(If that helps
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
Answers
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
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answers
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
Explanation: 4 x 4= 16 + 6 x 4 = 24 + 4 = $44 or 4 x 5 = 20
can you help me please
Answers
Answer:
25/6
Step-by-step explanation:
WHAT IS THE VALUE OF X PLEASE HURRY!!!!
Answers
Answer:
I think 48, since it's an equilateral triangle.
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
cuz its a equilateral triangle
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.
Answers
this represents the tax
if you round it, it would be $3.17
2/5 divided by 4 and reduce the answer
Answers
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
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Answers
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
Answers
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)
pls answer i need the answer
Answers
Answer:
(-2,5)
Step-by-step explanation:
4x+4y=12
6x-4y=-32
10x=-20
x=-2
4(-2)+4y=12
-8+4y=12
4y=20
y=5
HEY CAN ANYONE HELP ME PLZ
There were 35 students in a class. If 5/7 of the students were present on Monday, then how many students were NOT present on Monday.
Which is NOT an equivalent fraction to:3/4.
Answers
Answer:
2/7 is correct answer
oky na
[tex] \Large \underline{\tt Given} :[/tex]
[tex] \\ [/tex]
Total number of students = 35Students present on Monday = [tex] \tt \dfrac{5}{7}\: of \:35[/tex][tex] \\ [/tex]
[tex] \Large \underline{\tt To \: Find} :[/tex]
[tex] \\ [/tex]
Students not present on Monday = ?[tex] \\ [/tex]
[tex] \Large \underline{\tt Solution} :[/tex]
[tex] \\ [/tex]
As, we have :
Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]
[tex] \\ [/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]
[tex] \\ [/tex]
Now, we have to find students not present on Monday :
As, we have :
Total number of students = 35 Students present on Monday = 25[tex] \\ [/tex]
Therefore,
Students absent on Monday = 35 - 25 = 10
[tex] \\ [/tex]
Hence, 10 students were not present on Monday.
An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?
Answers
Answer:
8.66 m
Step-by-step explanation:
Given that,
The distance from the top of the building to the tip of the shadow is 14 m
The height of the building is 11 m.
We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.
The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.
So,
[tex]H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m[/tex]
So, the length of the shadow is 8.66 m.
Find the product.
10(-7)
Answers
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.
HELP PLEASE CHECK MY ANSWER!!!
Answers
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
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.
Answers
to get a percentage: (16/39)x100
percentage = 41%
I need help with this. Please!
Answers
Add them all up = 48+9+15
2x = 2y - 6 and y = x - 2
Answers
Answer:
2x=2y-6 equals x-y=-3 and y=x-2 equals x=2
Step-by-step explanation:
i hope this helps
