Answer:
(1) 13.0 years
(2) [tex]y^{3} =[/tex] {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
[tex]Pe^{rt}[/tex] = A
(47000)[tex]e^{(0.04)(t)}[/tex] = 79200
[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]
ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])
ln and e cancel out.
(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])
t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]
t = 13.0 years
(2)
[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]
Substitute y with -4x.
[tex]x^{2} + (-4x)^{2} = 153[/tex]
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728
[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728
Answer:
13.3
Step-by-step explanation:
I got it right
increase R700 in the Ratio 3:2
Step-by-step explanation:
³93521586335445555554555554488807799654
the sum of 8 and joses score is 35 use the variable j yo represent josés score
Answer:
8 + j = 35
subtract 8 from both sides
j = 27
Step-by-step explanation:
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%
Answer:
B
Step-by-step explanation:
The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.
Please help question in the picture
Answer:
64 m²
Step-by-step explanation:
Area of the trapezoid = ½(a + b)h
Where,
a = 6 m
b = 10 m
h = 8 m
Plug in the values
Area = ½(6 + 10)*8
Area = ½(16)*8
Area = 8*8
Area = 64 m²
Help me plsssssssssssssss
Hi
Answer:
1,900 i think is the answer pls dont sue me lol
Answer:
1900
Step-by-step explanation:
To the nearest hundred, so we have to look at the tens place. The tens place is 9, ninety, it's greater than 5, so we round up. therefore, 1894 rounded to the nearest hundred is 1900.
Please help ASP!!!! A= positive, B=Negative, C=Zero
Answer:
B. Negative
Step-by-step explanation:
So first, we want to locate the variable.
y (x/y) = (y/1) (x/y)
= (xy/y)
= x
The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
Solve each division problem, and classify it based on its quotient.
Answer:
show the image so i can answer
plz put the image so i can see cus there are two types
What is the simplified value of the expression below?
StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50
Answer:
C: 110.25
Step-by-step explanation:
The simplification form of the provided expression is 18.25 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]
= (56 + 90)/8
= 146/8
= 18.25
Thus, the simplification form of the provided expression is 18.25 option (A) is correct.
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help me plz.................
Answer:
[tex]\frac{1}{8}[/tex] cup
Step-by-step explanation:
[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]
[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]
[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]
[tex]y=\frac{1}{8}[/tex]
shin godzilla vs zilla
Answer:
I'd say zilla
Step-by-step explanation:
shin Godzilla would win because here is one scenario Zilla jumps on his back biting him then Shin Godzilla shoots his back beams killing him. plus Zilla shots only fire not any of the radiation things
Kim and Courtney share a 16oz box of cereal. By the end of the week, Kim has eaten 3/8 of the box and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?
Answer:
3/8 of the box is left.
Step-by-step explanation:
Answer:
3/8 is left over
Step-by-step explanation:
First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8
Next add 3/8 and 2/8 which equals 5/8
Finally, we need to subtract 5/8 from 8/8 to get 3/8
Hope this helped!!
What is the solution to this equation?
In(2x + 4) = ln(x + 3)
The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
What is log ?A logarithm is the power to which a number must be raised in order to get some other number .
We have,
[tex]ln(2x + 4) = ln(x + 3)[/tex]
Now, apply log rules
As we have [tex](ln)[/tex] on both which will be cancel out,
⇒
[tex]2x+4=x+3[/tex]
[tex]3x=3-4[/tex]
[tex]x=(-1)[/tex]
So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .
Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
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please help me someone i really need this to get my grade up :(
Answer: D
2 1/2 divided by 1/4 = 10
hope this gets ur grade up keep trying ur best!! :D
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)
Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]
The margin of error for a 90% confidence interval when n = 45 is 10.02.
Find dy/dx
for 4 tan^2x - xy^2= sin2y by using implicit differentiation
Answer:
Y=bx+c
Step-by-step explanation:
That should be right
Answer:
Y=bx+c
Step-by-step explanation:
Find the highest common factor(HCF) of 18 and 24
Mary is having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
A) If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
B) Splash of Color will always charge the least.
C) If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
D) If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
E) If it takes 3 hours to paint the rooms, both companies will charge the same amount.
Answer:
A and E
Step-by-step explanation:
A) 7 hrs in IDU will cost you $305.00 while SC cost $385
B) 4hrs in and SC will charge you more than IDU by $20
C) SC charges you more than IDU by $50 so IDU is more cost effective
D)SC will charge you $140 more than IDU but not $200
E) 55 x 3 = 165 while 35 × 3 105 plus 60 is 165 therefore it is the same
x
What are the perimeter and area
of a square with side length of 12 in.?
A. P= 24 in., A = 24 in.?
B. P= 144 in., A = 48 in.2
O
C. P = 24 in., A = 144 in.2
O
D. P= 48 in., A = 144 in.2
Answer: P = 48 in, A = 144 in.2
Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.
An equilateral triangle has a side length of 10 units. What is it’s area?
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
3(6x-5)-7(3x+10)=0. solve for x
Answer:
x = -85/3
Step-by-step explanation:
The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given expression is:
3(6x-5)-7(3x+10)=0
now, we have to simplify the expression to solve for x
we get,
3(6x-5)-7(3x+10)=0
or, 18x - 30 - 21x - 70 = 0
or, 18x - 21x -30 - 70 = 0
or, - 3x - 100 = 0
or, 3x = -100
or, x = -100/3
or, x = - 33.33
Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.
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If X = 12 inches, Y = 16 inches, and Z = 20 inches, what is the tangent of
Answer:
who do pow en odd an odd an 9 all 9 FM
What probability statement would you add to P(blue) = 1 10 to make a complete probability model for the event choosing a foam ball at random from the box?
Answer:
The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner.
You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.
Answer:
R = 3.813% per year.
Step-by-step explanation:
A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.Unit 10 circles homework 2 back side
Help please!!
Brainliest if right
Answer:
top and bottom
Step-by-step explanation:
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
Please help! What is the volume of the cone?
Answer and explanation please! <3
Answer: V≈804.25
Step-by-step explanation:
V=πr2h
3=π·82·12
3≈804.24772
Which of the following could be the beginning of a geometric sequence?
Answer:
Step-by-step explanation:
it's d for this one, if you'd like to know how to get the answers I can show you but ask in the comments of this question. I'll see that comment later
