Answer:
The annual interest rate would have to be of 0.1%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Jerod hopes to earn $1200 in interest in 4.9 years time from $24,000 that he has available to invest.
This means that:
[tex]A(4.9) = 1200 + 24000 = 25200[/tex]
[tex]t = 4.9[/tex]
[tex]P = 24000[/tex]
Compounded monthly:
This means that [tex]n = 12[/tex]
What would the annual rate of interest have to be?
We have to solve for r, so:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25200 = 24000(1 + \frac{r}{12})^{12*4.9}[/tex]
[tex](1 + \frac{r}{12})^{12*4.9} = \frac{25200}{24000}[/tex]
[tex](1 + \frac{r}{12})^{58.8} = 1.05[/tex]
[tex]\sqrt[58.8]{(1 + \frac{r}{12})^{58.8}} = \sqrt[58.8]{1.05}[/tex]
[tex]1 + \frac{r}{12} = (1.05)^{\frac{1}{58.8}}[/tex]
[tex]1 + \frac{r}{12} = 1.00083[/tex]
[tex]\frac{r}{12} = 0.00083[/tex]
[tex]r = 12*0.00083[/tex]
[tex]r = 0.001 [/tex]
The annual interest rate would have to be of 0.1%.
Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
Answer:
The center is at (1, 6) and the radius is 1.
Step-by-step explanation:
x^2 + y^2 - 2x - 12y +36 = 0
Convert to standard form:
x^2 - 2x + y^2 - 12y = -36
(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36
(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1
(x - 1)^2 + (y - 6)^2 = 1
The center is at (1, 6) and the radius is 1.
[-4,6)
Write the interval as an inequality.
Answer:
4<×<6
Step-by-step explanation:
interval as an inequality
The picture can be represented by the equation 40 divided by 8 equals 5.
Answer:
what is to do here
[tex] \sqrt[8]{40} = 4 \\ 5[/tex]
the answer like this up will be 5 what grade questionPolice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.
The probability that a randomly received emergency call is between 5 and 10 min is 77.97%.
Z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation and x is the raw score.
Given that μ = 6.4, σ = 1.7
For x = 5:
z = (5 - 6.4) / 1.7 = -0.83
For x = 10:
z = (10 - 6.4) / 1.7 = 2.12
a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797
b) P( x < 5) = P(z < -0.83) = 0.2033
c) P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017
The probability that a randomly received emergency call is between 5 and 10 min is 77.97%.
Find out more on Z score at: https://brainly.com/question/25638875
What is 7*1893/2? Help please
Multiply first then divide:
7*1893 = 13251
13251/2 = 6625.5
Answer: 6625.5
What is 27.6 / 8???????????
Answer:
seriously??
have you heard of calculators lol
the answer is 3.45
How do the 2s in 12.5 and 0.912 compare?
A The value of the 2 in 12.5 is 11,000 the value of the 2 in 0.912.
B The value of the 2 in 12.5 is 1100 the value of the 2 in 0.912.
C The value of the 2 in 12.5 is 10 times the value of the 2 in 0.912.
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912.
Answer:
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912
Step-by-step explanation:
The value of a digit in a number can be found by setting the other digits to zero.
The value of 2 in 12.5 is 2.
The value of 2 in 0.912 is 0.002.
The ratio of values is 2.000/0.002 = 2000/2 = 1000.
The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.
Answer:
D
Step-by-step explanation:
The answer is D
HELP!!!! PLZZZZZZZZZZ
Answer:
2x³ + 4x² cub. inches
3x³ + 36x² + 105x cub. inches
x³ + 32x² + 105x cub. inches
Step-by-step explanation:
Volume of the small box = x × 2x × (x + 2)
= 2x²(x + 2)
= 2x³ + 4x² cubic inches
Volume of the large box = (x + 5)(x + 7) × 3x
= (x² + 12x + 35) × 3x
= 3x³ + 36x² + 105x cubic inches
Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)
3x³ + 36x² + 105x - 2x³ - 4x²
x³ + 32x² + 105x cubic inches
Draw the image of AABC under a translation by 3 units to the left and 3 units down
this is an answer if u have somethin better go for it
Help help help help help help help help
Answer:
y=2
y=4
y=6
y=8
Step-by-step explanation:
please mark brainlist
Emilio has 8 large bottles of soda and 12 large jugs of water. Emilio wants to set up identical tables and have no drinks left over. What is the greatest number of tables that he can set up?
Answer:
4
Step-by-step explanation:
Think about the ratio between the current number of large bottles of soda(8) and the current number of jugs of water (12)
By finding the GCF (Greatest Common Factor) of the two numbers, we can conclude that if both numbers were to be divided by the GCF, 4, we would get a 2:3 ratio.
For every 2 bottles of soda, 3 jugs of water will be placed. Keep doing this until we run out of both sources of liquid, in this case, 4 tables where we would use all the bottles of soda and the jugs of water.
What is the range if this function ?
Answer:
-4 to 0 (both -4 and 0 are included in the range because of the dots)
Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.
As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.
At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:
"I wisht they'd strike game somewheres, an' go away an' leave us alone."
"They do get on the nerves horrible," Henry sympathized.
They spoke no more until camp was made.
Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...
What is the purpose of this sentence in the story? (5 points)
It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.
A is as good an answer as you are likely to get, but I don't think it's right.
1. As a diver descends, the pressure in the water
a
increases by about 0.455 pound per square
inch
(psi) for each foot of descent. This can be
modeled by the equation P = 0.455d + 14.3,
where P is the pressure in pounds per square
inch and d is the depth in feet.
Use a graphing calculator to graph the model.
(a)
Sketch the graph showing d (horizontal axis
representing depth )and P (vertical axis
representing the pressure).
Plotting the graph using geogebra online graphing tool and attaching.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let P represent the pressure in pounds and d represent the depth in feet.
Given the equation:
P = 0.455d + 14.3
Plotting the graph using geogebra online graphing tool and attaching.
Find out more at: https://brainly.com/question/13911928
can anyone help me please just cat get it
Answer:
it is c I think if not sorry
[tex]~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}[/tex]
[tex]\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
now keeping that template for transformations above in mind, let's take a look at this one
[tex]\stackrel{\textit{original}}{f(x) = |x|}\implies f(x)=\stackrel{A}{1}|\stackrel{B}{1}x+\stackrel{C}{0}|+\stackrel{D}{0}[/tex]
now, the vertex of this type, or original that'll be the origin at (0,0), and its' graph looks like a V.
now let's take a peek at the graph, hmmm from the original V-shape it moved to the left by 2 units, with a horizontal shift of C/B = 2, we can say that +2/1 gives B = 1 and C = +2, and moved upwards by 3 units, namely D = +3.
we can also see that it flipped upside-down over the horizontal(x-axis), namely A is negative, on all choices the only value we see for A is "4", so it must be that A = -4
let's plug all those in
[tex]\begin{cases} A=-4\\ B=1\\ C=+2\\ D=+3 \end{cases}\qquad f(x)=\stackrel{A}{-4}|\stackrel{B}{1}x+\stackrel{C}{2}|+\stackrel{D}{3}\implies f(x)=-4|x+2|+3[/tex]
Will give brainliest
Answer:
between midnight and 3am i think
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y= x+
Answer:
The equation of this line is y = -3x + 7
Step-by-step explanation:
Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.
(The slope determines the direction in which the line goes, and is written as rise/run.)
In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.
(The y-intercept is the point in which the line crosses the y-axis.)
In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.
So all together we have y = -3x + 7.
Hope this helps you :)
d ÷ 20 = 0.81
d = ?
what is d?
Answer: 16.2
Step-by-step explanation:
i used the calculator
455,757,974,946,454 ×454,942,164,313,233.Plz help.
91929229
7373738292929202010100110010110
which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42
Answer:
It is C. 500 tablets in a bottle for 13.42
Step-by-step explanation:
9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.
6.32/100 = 0.06 cents per tablets in a bottle.
13.42/500 = 0.02 cents per tablets in a bottle.
Multiply.
[−3⋅914]⋅[(−0.1)⋅(−28)]
What is the product?
Answer:
x=5.3984
Step-by-step explanation:
Perimeter of piecewise rectangular figure. Please help.
Check the picture below.
so the perimeter is 6+16+14+7+8+9 = 60.
What would be the total cost of
Software M over time?
Satisfaction 55%. $0
$[?]
Not Satisfied
$6,000
Software X
45% - $18,000
Software M.
$12,000
95% - $0
Satisfaction
Not Satisfied
5% • $2,000
Entor
1. The total cost of Software M over time is $10,000.
2. The total cost of Software X over time is $4,000.
Data and Calculations:
Cost of Software M = $12,000
Satisfaction rate with Software M = 95%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $2,000
Percentage of not satisfied = 5%
The total cost of Software M over time is $10,000 {($12,000 x 95% - $0) + ($12,000 x 5% - $2,000)}.
Cost of Software X = $6,000
Satisfaction rate with Software X = 55%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $18,000
Percentage of not satisfied = 45%
The total cost of Software M over time is $4,000 {($6,000 x 55% - $0) + ($6,000 x 45% - $2,000)}.
Learn more about total cost based on satisfaction ratio here: https://brainly.com/question/25940131
y=sech(tan‐¹x) find the derivative
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.
Answer:
The guitarist makes 70$ a performance
Step-by-step explanation:
To find how much he makes per performance we need to make an equation where how much he makes per performance is x
The equation would be:
6×x=420
Then we would divide both sides by 6
6÷6×x=420÷6
which would make the equation
x=70
meaning that the guitarist makes 70$ per performance
Let performances be x
[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]
[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]
[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]
[tex]\\ \sf{:}\dashrightarrow x=35[/tex]
7.
The transformation described below adds 1 to the x-coordinate and doubles the y-coordinate of any given point.
(x,y) → (x + 1, 2y)
2
What is the effect of this transformation on distance and angle measure?
A. It preserves angle measure but does not preserve distance.
B. It preserves neither distance nor angle measure.
C. It preserves both distance and angle measure.
D
It preserves distance but does not preserve angle measure.
Answer: make me brainlist
Step-by-step explanation: CCCCCCC
A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?
12 miles
12 miles
25 miles
25 miles
120 miles
120 miles
312 miles
312 miles
Answer:
25 miles?
Step-by-step explanation:
Which explanation could be used to verify weather the functions are inverse
Answer:it is the second option
Step-by-step explanation:
neither of the lines are paralell to the y=x
HELP
please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️
Answer:
[tex](x-6)^2=8[/tex]
Step-by-step explanation:
[tex]x^2-12x+32=4[/tex]
[tex]x^2-12x+32+4=4+4[/tex]
[tex]x^2-12x+36=8[/tex]
[tex](x-6)^2=8[/tex]
Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.
Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8
영
0-1
-4
ANSWERS:
4
1/4
-1/4
-4
Answer:
45
Step-by-step explanation:
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
