Answer:
A = $14,745.544
Step-by-step explanation:
The equation for compound interest is
A = P (1+i)t
A = final value
P = amount invested (principal) (10000)
i = interest rate, expressed as a decimal (.05)
t = number of years invested (8)
This formula assumes annual compounding.
Plugging in what we know.
A = 10000(1.05)^8
A = 10000 (1.47745544)
A = $14,745.544
Stanley walks a round-trip of 1.75 miles to work every day. How many miles will he walk in 5.5 days
A. 9.625 miles
B. 96.25 miles
C. 962.5 miles
D. 9625 miles
Multiply miles per day by number of days
5.5 x 1.75 = 9.625
answer: A. 9.625 miles
Find the equation of the perpendicular line, to the line: y=2x+4
Answer:
y = -1/2 x + 4
Step-by-step explanation:
y = 2x + 4
Since this equation is in slope-intercept form, the slope of the line is 2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of a line perpendicular to this line would be -1/2.
So, any equation of the form y = -1/2 x + b
it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.
Javier uses 1/8 teaspoon of nutmeg for each loaf of banana bread he makes. How many loaves f banana bread can Javier with 4 teaspoons of nutmeg?
Part 1: Complete the operations geometrically.
Use vector operations to draw the resultant vector.
⦁ Draw 2u + 4v.
Answer:
Step-by-step explanation:
The geometrically operations 2u + 4v is (2,12).
For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.
Why is a graph a direct line?It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.
equation of a straight line is y=mx+cy represents vertical line y-axis.
x represents the horizontal line x-axis.
m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.Learn more about geometry here:-https://brainly.com/question/19241268
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Determine the volume of a cube with sides of 30mm
Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]
Step-by-step explanation:
[tex]30mm[/tex]
[tex]a=0.03m[/tex]
[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]
(the answer is also in the picture)
Answer:
V≈2.7×10^-5m³
Step-by-step explanation:
a=edge
Unit Conversion:
a=30mm/1000m
a=0.03m
Solution
V= a³= 0.03³
a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³
I need help with this question please!! See attached
Answer:
(a) 191 had side effects
(b) 370 had nausea
(c) 86 had both anxiety and fatigue
Step-by-step explanation:
See attached. We look at the Venn diagram to answer the different questions.
If you are color blind let me know and I will mark the attachment more clearly.
Jan's electric bill is averaging $8 per day mostly due to the air conditioner. By setting the AC to a higher temperature, closing curtains to block sunlight, and using direct-blowing fans for comfort, Jan reduces the bill to $5 per day. How much did Jan reduce the electric bill for a 30-day month?
Answer:
$5×30days= $150 for the whole month
Answer: $90 saved
Step-by-step explanation:
8 - 5 = $3 dollars saved each day
Multiply daily amount saved by number of days
$3 × 30 = $90 saved
PLEADE HELP??????????????
Answer:
A
Step-by-step explanation:
because for combinatioj order are no imoortant
what is the area of the figure 27 1/2yd 17 1/5yd in yd
Answer:
473
Step-by-step explanation:
→ Write the formula
Base × Height
→ Substitute in the numbers
[tex]27\frac{1}{2}*17\frac{1}{5}[/tex]
→ Convert to improper fractions
[tex]\frac{55}{2} *\frac{86}{5}[/tex]
→ Simplify
473
4.
Let the cost function f of the unusual planet that orbit the earth is given as follows:
Vx+c² - c
f(x)=
c>0
x
I
(a)
Find the domain of f?
(b) Explain how can you define ſ so that it is continuous at x=0?
b
(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]
(b)The given function is discontinuous at x=0.
What is the domain and range of a function?
Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.
The standard function is;
[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]
The domain of the given function is found as;
[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]
The domain of the function is,
[tex]\rm x \geq -c^2 \ x\neq0[/tex]
To find the function is continuous or not, we have to find the continuity;
[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]
At x= 0 the function is undefined. So that the function is discontinuous at x=0.
Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.
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Which of the following is equal to tan O using coordinates on the unit circle?
А) У/ х
B) xly
C) x
D) y
The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (a) is the base side, (b) is the opposite side.
Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:
[tex]\tan\theta=\dfrac{y}{x}[/tex]
Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
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In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study? A
If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
What is exponential growth?Exponential growth occurs when the pattern of increase is higher with the passage of time.
The formula for the exponential increase is as follows:
f(x)=a(1+r)^{x}
Where:
f(x) = exponential growth function
a = initial number or amount
r = growth rate
{x} = number of time intervals
Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
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x/7 ≥ -6 please help me solve for x
Answer:
x ≥ -42
Step-by-step explanation:
[tex]\frac{x}{7} > =-6[/tex]
[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]
[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]
[tex]x > =-6\cdot 7[/tex]
[tex]x > =-42[/tex]
Shortcut
• Multiply positive 7 by negative 6 to find x as a shortcut.
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a commission of 9% of your sales • Option B: Base salary of $20,000 a year with a commission of 4% of your sales How much electronics would you need to sell for option A to produce a larger income? Enter your answer as an inequality using the variable x to represent electronics sales in dollars. Do not enter any commas in your answer.
Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the base salaries as the intercept and the commissions as the slope, the functions are given by:
A(x) = 10000 + 0.09x.B(x) = 20000 + 0.04x.To produce a larger income in option A, it is needed that:
A(x) > B(x).
Hence:
10000 + 0.09x > 20000 + 0.04x
0.05x > 10000
x > 10000/0.05
x > 200,000
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Please heLp me lollol
Answer:
AC = 10Step-by-step explanation:
AB = 6
BC = 4
just sum
6 + 4 = 10
AC = 10
What is the perimeter of this composite figure?
Answer:
24.56
Step-by-step explanation:
the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)
Answer:
P= 24.56cm
Step-by-step explanation:
P=2L + πd
P=2x 6cm + 3.14x4cm
p=12cm+12.56cm
P= 24.56cm
NO LINKS!!! For each table, tell whether represents a linear, exponential, inverse, or no relationship. Write an equation each table(if possible).
[tex]\large\boxed{\sf inverse \ variation}[/tex]
[tex]\sf \large\boxed{\sf xy = 12}[/tex]
Explanation:The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.
After identification, it looks like a inverse graph.
Constant variable:
1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 12Inverse variation: xy = a [a is constant]
Equation: xy = 12 or y = 12/x
Answers:
This is an Inverse variation
The equation is y = 12/x which is the same as saying xy = 12
======================================================
Explanation:
Notice that for each column, the x & y values multiply to 12.
1*12 = 122*6 = 123*4 = 124*3 = 126*2 = 128*1.5 = 1210*1.2 = 1212*1 = 12This tells us that x*y = 12 which rearranges to y = 12/x
All inverse variation equations are of the form y = k/x which is equivalent to xy = k.
As x increases, y decreases, and vice versa.
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 57 pencils.
There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there
were no pencils left over, how many pencils did each student get?
A. 24
B. 95
C. 3
D. 15
Answer:
15 pencils
Step-by-step explanation:
5 pencils * 57 pencils is 285 total pencils
285 / 19 = 15
alternatively you can do 57/19 * 5, which is also 15
.
Jill rolled a regular 6-faced die three times and got 2 each time.
What is the probability that she will roll 2 again on the next roll?
Answer: 1/6
Step-by-step explanation:
Since there’s only one side on the dice that has two on it out of six sides it has to be 1/6.
Find the remainder when 2x^3-5x^2+x-3 is divided by (x-1)
Answer:
-7.
Step-by-step explanation:
Using the Remainder Theorem :
If f(x) is divided by x-1 then the remainder is f(1), so
The required remainder
= f(1) = 2(1)^3 - 5(1)^2 + (-1) - 3
= 2 - 5 - 1 - 3
= -7.
Answer:
remainder = -5
Step-by-step explanation:
Divide using long division:
[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]
Will give brainliest.
Answer:
Im pretty sure its "A. 6"!
Have a nice day! :)
Kate has $17. She wants to hire a bike for 5 hours. There are two companies.
The table shows the cost C, in $, of hiring the bike for n hours from each company.
Company A C = 2n + 6
Company B C = 3n + 3
Find the cost of hiring a bike from Company A and Company B.
Answer:
It's 8 yuan per hour in company A and 9 yuan per hour in company B
if x/5 + 6 = -14, then x =
Answer:
The answer is (-100).
Step-by-step explanation:
Given;x/5 + 6 = -14To Find;The value of xNow,
x/5 + 6 = -14
Cross multiplication
x + 5 × 6 ÷ 5 = -14
x + 30/5 = -14
Multiply 5 both sides we get,
x + 30/5 × 5 = -14 × 5
x + 30 = -70
x + 30 – 30 = -70 – 30
x = -100
Thus, The value of x is (-100).
Answer:
[tex]\huge\boxed{\sf x = -100}[/tex]
Step-by-step explanation:
Given Equation:
x/5 + 6 = -14
Subtract 6 to both sides
x/5 = -14 - 6
x/5 = -20
Multiply 5 to both sides
x = -20 × 5
x = -100
[tex]\rule[225]{225}{2}[/tex]
There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?
Answer:
232
Step-by-step explanation:
→ Find the percentage multipier
( 100 + 45 )÷ 100 = 1.45
→ Multiply this by the original amount
1.45 × 160 = 232
Match the graph with the correct equation.
y-1 = -4(x + 5)
y-1 = -1/4(x + 5)
y+1 = -1/4(x + 5)
y-1 = -1/4(x + 5)
the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?
Step-by-step explanation:
Divide the two numbers.
5/2 / 1/4
Flip the 2nd fraction and multiply:
5/2 * 4/1
20/2
10
So the marathon runner travels at a unit rate of 10 MPH.
Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.
Step-by-step explanation:
remember, 360° (the full circle) = 2pi
a)
60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =
= 1.047197551... ≈ 1.047
b)
210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =
= 3.665191429... ≈ 3.665
c)
225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =
= 5/4 × pi = 3.926990817... ≈ 3.927
d)
120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =
= 2.094395102... ≈ 2.094
Find the missing digit for the following bank identification numbers:
71100139█
321000█56
Answer:
711001392
321000759
Step-by-step explanation:
hope it helps ^o^
Type such digits that's are correlated to both numbers but they are not present in both rather than present in one.
They can be 2 and 7 or 5 and 9
711001392321000756You can write other one also
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
How to determine the amount of rose petals left?The given parameters are:
Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kgThe amount left is the difference between the amount purchased and the amount used.
So, we have:
Remaining = 0.454 + 0.056 - 0.02 - 0.095
Evaluate
Remaining = 0.395
This means that the remaining amount is 0.395kg, not 0.413 kg
Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
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Answer: she is left with 0.395 kilogram of rose pedals
Step-by-step explanation: she misalinged the first step,
0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the training field is 5606.48 m².
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the training field, we use the formula below.
Formula:
A = lw+π(w/2)².................. Equation 1Where:
A = Area of the training fieldl = Length of the training fieldw = width of the training fieldπ = pieFrom the question,
Given:
l = 86 mw = 64 mSubstitute these values into equation 1
A = (86×64)+[3.14×(64/2)²]A = 5504+100.48A = 5604.48 m²Hence, the area of the training field is 5606.48 m².
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