Answer:
about 9 years
Step-by-step explanation:
You want to know the doubling time for money earning an interest rate of 8%.
Rule of 72The rule of 72 tells you the doubling time is about ...
72/(interest rate %) = 72/8 = 9 . . . . years
The sum will double in about 9 years.
__
Additional comment
The actual period will depend on the way interest is compounded. When compounded annually, the time is ...
log(2)/log(1.08) ≈ 9.01 . . . years
Compounded monthly, the time is ...
log(2)/(12·log(1 +.08/12)) ≈ 8.69 . . . years
An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)
Answer:
(A) 490ft.
(B) 2.8 miles
Step-by-step explanation:
Important points to note:
- The limestone layer is thought or assumed to slope downward in a straight line.
- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.
- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.
(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?
The expected depth of the limestone layer is:
2 miles + 3 miles = 5 miles
220ft + 270ft = 490ft
(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?
If 490ft ~ 5 miles
then 275ft ~ K miles
K = [275 x 5] / 490 = 2.80612245 miles
Rounding to 1 decimal place, the distance is 2.8 miles.
The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?
Answer:
Step-by-step explanation:
V = πr²h
1014π = πr²·6
r² = 1014/6 = 169
r = 13 cm
23:
-
Determine the x- and y- intercepts for the graph defined by the given equation.
y = 7x + 3
a. X-intercept is (3,0)
CH
x-intercept is 0.-
y-intercept is 0,-
y-intercept is (3,0)
b.
d. x-intercept is (3, 0)
x-intercept is
0
y-intercept is
10
y-intercept is (0,3)
Please select the best answer from the choices provided
А
ОВ
Answer:
[tex](-\frac{3}{7}, 0)[/tex] -- x intercept
[tex](0,3)[/tex] -- y intercept
Step-by-step explanation:
Given
[tex]y = 7x + 3[/tex]
Required
Determine the x and y intercept
For x intercept.
Set [tex]y = 0[/tex]
So, we have:
[tex]y = 7x + 3[/tex]
[tex]0 = 7x + 3[/tex]
Collect Like Terms
[tex]7x = -3[/tex]
Make x the subject
[tex]x = -\frac{3}{7}[/tex]
Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]
For the y intercept;
Set [tex]x = 0[/tex]
So, we have:
[tex]y = 7x + 3[/tex]
[tex]y = 7*0 + 3[/tex]
[tex]y = 0 + 3[/tex]
[tex]y = 3[/tex]
Hence, the y intercept is: [tex](0,3)[/tex]
AnswerB
Step-by-step explanation:
PLEASE HELP ASAP I WILL GIVE YOU BRAINIEST!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?
Answer: kimi is 22
Step-by-step explanation:
Answer:
Kimi is 11 years old
Step-by-step explanation:
We can read 'twice Kimi's age' as Kimi's age times 2 and
'14 years younger' as minus 14.
Our equation is
2(Kimi's age)-14= Marcus' age
Since Marcus is 8:
2(Kimi's age)-14= 8
Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.
First we add 14 to both sides
2(Kimi's age)-14(+14)= 8(+14)
2(Kimi's age)= 22
Then we divide by 2
2(Kimi's age)/2= 22/2
Kimi's age=11
Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.
- 3x + 5y = -2
2x - 2y = 1
Solve by elem inaction
Answer:
x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.
Step-by-step explanation:
A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?
Number of dogs cages = 16
Number of cats cages = 16
Number of rabbits cages = 4
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
For simplicity’s assume;
D = number of dogs cages, C = number of cats cages,
R = number of rabbits cages.
Since, The dogs and the cats cages are the same number,
We can say, C = D.
Only one fourth as many cages for rabbits,
So, we can formulate,
R = 1/4D
Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.
2D + 1/4D = 36
Combine like terms and get the same denominator;
9/4D = 36
9D = 144
D = 16
So,
Number of dogs cages = 16
Number of cats cages = 16
And, Number of rabbits cages = 36 - (16 + 16)
= 36 - 32
= 4
Thus,
Number of dogs cages = 16
Number of cats cages = 16
Number of rabbits cages = 4
Learn more about the mathematical expression visit:
https://brainly.com/question/28374179
#SPJ5
A. X = -6 and X = -5.5
B. x = -0.5 and x = -5
C. X = 0 and x = 5
D. X = 5 and x = 6
Answer:
Step-by-step explanation:
The roots are the x-intercepts, 5 and 6.
How to do this problem? Thank you!
1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (0.98) ^ x represents the value, y of one account that was left inactive for a period of x years .
a. What was the initial amount of money that was left in this savings account?
b. What is the percent of change each year in this savings account?
Answer:
a. The initial amount of money that was left in this savings account was of 5000.
b. Decrease of 2% each year.
Step-by-step explanation:
Exponential function:
An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In this question, we have:
[tex]y = 5000*(0.98)^x[/tex]
a. What was the initial amount of money that was left in this savings account?
This is y(0) = 5000
The initial amount of money that was left in this savings account was of 5000.
b. What is the percent of change each year in this savings account?
First as a decimal.
1 - r = 0.98
r = 1 - 0.98
r = 0.02
So a decrease of 2% each year.
I need help so please be nice and help me hurry cause I have to turn this in!!
Answer:
16 easy
Step-by-step explanation:
help asap, i will mark brainliest!
Answer:
150m
Step-by-step explanation:
[tex]Length=120-(-30)=120+30=150m[/tex]
*) Simplify the second expression
2(2m + 2) + m.
2(2m + 2) + m =
m +
?
Answer:
5m + 4
Step-by-step explanation:
First, use the distributive property to open the parentheses.
2(2m + 2) + m = _m + 4
4m + 4 + m = _m + 4
Simplifiy:
5m + 4
Hope this helps!
Answer:
5m+4
Step-by-step explanation:
open up the bracket
that will be 4m+4+m (since 4m and m are alike we can add them together)
5m+4
if this helped please give me brainlest
Five higschool friends all happen to be female born in 2003 assuming that the survival of each ine is independent what is the proablity that at least one lives to be 100 year old
Answer:
15%
Step-by-step explanation:
Subtract: (x^2+ 5x – 4) - (6x2 – 7)
Will give brainliest
Answer:
x^2+5x-9
Step-by-step explanation:
First multiply 6x2 because that's a number that isn't solved in the parenthesis.
(x^2+5x-4) - (12-7)
Then you subtract 12-7 which equals 5.
(x^2+5x-4)-(5)
You now take the parenthesis off
x^2+5x-4-5
-4-5 equals -9
Now you get the answer: x^2+5x-9
Answer:
-5x² + 5x + 3
Step-by-step explanation:
Guys I suck at this stuff so can someone Just PLEASE HELP ME
Answer:
I only
Step-by-step explanation:
The others have irrational & unsolvable numbers!
Hope that helps!
Troy and Lisa were shopping for school supplies. Troy bought 3 notebooks and 5 thumb drives for $20.25. Lisa bought 8 notebooks and 8 thumb drives for $38. Find the cost of each notebook and the cost of each thumb drive.
Answer:
Step-by-step explanation:
3n + 5d = 20.25
24n + 40d = 162
8n + 8d = 38
-24n - 24d = -114
24n + 40d = 162
-24n - 24d = -114
—————————
16d = 48
d = 3
A drive costs $3
3n + 5(3) = 20.25
n = 1.76
A notebook costs $1.75
Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|
Step-by-step explanation:
a. 4×|-8| = 4×8 =32
b. 2×3+4×7= 6+28 = 34
c. 8×2-6 = 10
d. 5×4+2×6 = 32
2x +5y = -7
7x + y = -8
Solve by substitution SHOW WORK!
Answer:
x = 1, y = -15
Step-by-step explanation:
7x + y = -8 ⇒ y = -7x-8
2x + 5y = -7
substitute -7x-8 for y:
2x + 5(-7x-8) = -7
2x - 35x - 40 = -7
-33x - 40 = -7
-33x = -33
x = 1
y = -7x-8 = -15
A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?
a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5
Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Step-by-step explanation:
Let p represent the proportion of all households in the city that gave a charitable donation in the past year.
Reseracher wants to check whether p > 50% or p > 0.5
Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.
So Null hypothesis: [tex]H_o: p=0.5[/tex]
Alternative hypothesis: [tex]H_a:p>0.5[/tex]
The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Which of the following is most likely the next step in the series?
Answer:
I need more info to answer this question.
Step-by-step explanation:
The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowers are in the cooler?
Can anyone help me thank you
Answer:
tu debes de saber las respuestas por qué tú estás como en onceavo
An economist conducts a nationwide survey to study the financial perceptions of US adults. Specifically, he asks a random sample of 1,000 US adults: “Financially, are you doing OK or are you struggling to get by?” The results of the survey show that 829 of the 1,000 participants said they are doing OK.
(a) Construct a 95% confidence interval for the proportion of US adults who would say they are doing OK.
(b) Shortly thereafter, a similar study is conducted in Mexico with the intention of constructing a 95% confidence interval for the proportion of Mexican adults who would say they are doing OK. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.01?
Answer:
a) (0.806, 0.852)
b)Margin of error ≤ 0.01
1.96*√{0.5*(1–0.5)/n} ≤ 0.01
√n ≥ 98
n ≥ 9604
• Smallest sample size = 9604
Step-by-step explanation:
I found this on Chegg
what is 893 :9 in long division
Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?
Answer:
10 months
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Divide. Then, check your work with multiplication. 12.21 / 11
Answer:
1.11
Step-by-step explanation:
Answer:
1.11
Step-by-step explanation:
12.21/11 is equal to 1.11
to check with multiplication, 1.11*11 = 12.21
Help
Please ..................
Answer:
-86
Step-by-step explanation:
Substitute -11 for x in the equation:
8(-11)+2
=-88+2
=-86
Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?
Answer:
pesaria 2.25 kilos
explicacion
Seven times a certain number plus the number is equal to 88. Find the number.
Answer:
11
Step-by-step explanation:
11 * 7= 77
77 + 11= 88
a. Solve for x in the
diagram
Answer: 15 i think
Step-by-step explanation:
Answer:
as their is no labeling so it's hard to answer
55+55=110
180-110=70
vertical angles
so x=70
you want branliest.more branliest giving out
Answer:
that is a cute dog
Step-by-step explanation:
1. very fluffy
2. small
3. sleeping
4. teddy bear dog :D