Answer:
log ( 28 )
13 √ 25
log
( 1/ 2 )
Step-by-step explanation:
To solve this, we will use this property of logarithms:
If x= a ^ y
then log an (x) = y, where a is the base
So if e^9 = y , or y = e^9
then log e (y) = 9
NB: log e (y) is also referred to as the natural log of y, or ln y.
So it can also be written as:
Answer: ln y = 9, or log e (y) = 9
Cheryl deposits $7,500 into the bank. She cannot withdraw or deposit any more money for 6 years. She earns a 6% interest during that time.
How much interest will she have earned at the end of 6 years?
2,700
What will her new balance be when she is finally able to withdraw her money?
Answer:
See explanation
Step-by-step explanation:
Since banks use compound interest, then we write;
A = P(1 +r)^n
A = amount
P = principal
r= rate
n= time period
P = $7,500
n = 6
r = 6%
Substituting values;
A = P(1 +r)^n
A = 7,500(1 + 6/100)^6
A=$ 10,639
Interest = Amount (A) - Principal(P)
Interest = $ 10,639 - $7,500
Interest = $3139
Her final account balance after six years is $10,639
What is the side length, x, of this cube? ____ miles
Please help, I will mark brainlist.
Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm2 and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answer:
[tex]V=60.28\ cm^3[/tex]
Step-by-step explanation:
Given that,
The area of the base = 13.2 cm²
The height of the pyramid = 13.7 cm
We need to find the volume of this pyramid. The formula can be given by :
[tex]V=\dfrac{1}{3}Bh[/tex]
Put all the values,
[tex]V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3[/tex]
So, the volume of the pyramid is equal to [tex]60.28\ cm^3[/tex].
Find The greatest common Factor of 7, 15, 21
Answer:
1
Step-by-step explanation:
1. List the prime factors of each number.
2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
3. Multiply all the circled numbers. The result is the GCF.
Answer:
1
Step-by-step explanation:
1 million =_____________ hundred thousand
Answer:
seriously,I think the answer is 10 hundred thousand
Step-by-step explanation:
10*100000=1000000
You need to make 56 servings of Caesar dressing.
Each serving takes 2 teaspoons of crushed garlic.
How many teaspoons of crushed garlic do you need?
Answer:
112 teaspoons of crushed garlic
Step-by-step explanation:
56•2=112
HELP PLEASE CAN’T FIGURE THIS OUT NEED HELP
Answer:
LN= 68°
Step-by-step explanation:
2)Preparation of the statement of cash flows involves:
a.Computing the net increase or decrease in cash.
b.Computing and reporting net cash provided or used by operations.
c.Computing and reporting net cash provided or used by investing activities.
d.Computing and reporting net cash provided
Answer:
The Answer is gonna C.Computing and reporting net cash provided or used by investing activities.
Step-by-step explanation:
I hope I helped
I need help.
The x-intercepts of the graph of a certain parabola are (0,0) and (10,0).
The axis of symmetry is x =
Answer:
the symmetry would be the opposite
Step-by-step explanation:
hope it helps
Cassie buys a soccer ball that cost 3249 she gives the store clerk $40 how much change should she get back
Answer:
$7.51
Step-by-step explanation:
I think you meant $32.49*
$40.00
- $ 32.49
-----------------
$ 7.51
Since she's giving the clerk $40.00 for an item that only costs $32.49, you subtract $32.49 from $40.00 to get the amount of change she would get back.
Help me please , thank you so much
The answer is
b. two real solutions
Amanda covers the outside of a box, shown in the diagram below, with
decorative paper for a school project. The top of the box is open.
3 in
7 in.
8 in
If the paper costs $0.03 per square inch, what is Amanda's total cost?
Answers:
4.38
6.06
5.04
2.70
26)
Ahmed states that as the parabola below is narrower than the parent function, the value of a is
0
PLEASE I WILL MARK BRANLIESTTTTT!!!!! IF U GUVE THE RIGHT ANSWER
Answer:
Ahmed is incorrect. The first thing to note is that if the value of a is 0, than it is not a quadratic function- it is a linear function.
Second thing to not is that a parabola because narrower as the value of a increases, not decreases. If the parabola is narrower than the parent graph, that means a has a value that is greater than 1.
Please remember to brainliets this answer.
which statement best explains why the value of this expression is equal to -8 1/2 y?
The diameter of a circle is 26 yards. What is the circle's circumference?
Use 3.14 for a
yards
Submit
Answer: 26 yards
Step-by-step explanation: I have a trick i like to use. If its diameter use the number they provide if its radius divide the number by 2.
I'm not sure if it works in every case but you can try it ^^
The sides of a triangle are in the ratio 1: 2: 4. The difference between the longest side
and the shortest side is 84 cm. What is the perimeter of the triangle?
The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?
Solution:-The sides of a triangle are in the ratio 1: 2: 4. (Given)
Let the three sides of a triangle be x, 2x and 4x respectively.
So,
ATQ ,
4x - x = 84
3x = 84
x = [tex] \bf \frac{84}{3} [/tex]
x = 28[tex] \therefore [/tex] Longest side = 4x = 4 × 28 = 112 cm.
Shortest side = x = 28 cm.
And, the other side = 2x = 2 × 28 = 56 cm
Now, we have to find the perimeter of the triangle.
Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.
The perimeter of the triangle is 196 cm. [Answer]In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
Required:
Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university.
Answer:
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of the metal prism..........
Answer:
no inglish :"<
sorry pero espero y alguien te responda bien pronto
Eddie is paid $17.25 per hour for a regular 37-hour week. His overtime rate is 1 times his regular hourly
rate. Use his time card above to find his total pay for the week.
Answer:
$638.25
Step-by-step explanation:
I multiplied 17.25 times 37. The product was $638.25.
I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.
A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: A, B, C, and D. What is
the probability that you randomly guess and select the correct answer?
Give your answer as a fraction
Let the function P represent the population P(d), in thousands, of a colony of insect
d days after first being measured. A model for P is P(d) = 10. (1.08)".
Answer:
(c) and (e) are true
Step-by-step explanation:
Given
[tex]P(d) = 10. (1.08)^d[/tex]
See attachment for complete question
Required
Which of the options is true
(a) 1080 insects on day 1
This implies that d = 1
So, we have:
[tex]P(1) = 10* (1.08)^1[/tex]
[tex]P(1) = 10* 1.08[/tex]
[tex]P(1) = 10.8[/tex]
(a) is incorrect because [tex]P(1) \ne 1080[/tex]
(b) 10800 insects after a week
This implies that [tex]d = 7[/tex]
So, we have:
[tex]P(7) = 10* (1.08)^7[/tex]
[tex]P(7) = 10* 1.71382426878[/tex]
[tex]P(7) = 17.14[/tex]
(b) is incorrect because [tex]P(7) \ne 10800[/tex]
(c): Growth factor per day is 1.08
An exponential factor is represented as:
[tex]y = ab^x[/tex]
Where
b is the growth factor
By comparison:
[tex]b = 1.08[/tex]
Hence, (c) option is true
(d): Growth factor per week is 1.08*7
In (c), we have:
[tex]b = 1.08[/tex] as the daily growth factor
So, the growth factor for n days is:
[tex]Factor = 1.08^n[/tex]
Substitute 7 for n i.e. 7 days
[tex]Factor = 1.08^7[/tex]
So, the growth factor for 7 days is: [tex]1.08^7[/tex] not [tex]1.08*7[/tex]
Hence, (d) option is true
(e): Growth factor per week is 1.08*7
In (c), we have:
[tex]b = 1.08[/tex] as the daily growth factor
For hourly rate, we have:
[tex]Factor = 1.08^\frac{1}{24}[/tex]
Hence, (e) option is true
help . will mark best answer
answer: infinitely many :)
.
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find , the number of regular fares paid, and , the number of reduced fares paid?
Answer:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of regular fares paid.
y is the number of reduced fares paid.
1,042 total fares were paid
This means that [tex]x + y = 1042[/tex]
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.
This means that:
[tex]1.5x + 0.75y = 1140[/tex]
System of equations:
The system of equations is:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
If F(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f°g)(x)?
Answer:
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Step-by-step explanation:
Composite functions:
Suppose that we have two functions, f and g. Their composite is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
We have that:
[tex]f(x) = 3x + 2[/tex]
[tex]g(x) = x^2 + 1[/tex]
The composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation
conclude?
30 pages, what can you
CA
About 60% of the books have fewer than 150 pages.
B.
About 16% of the books have fewer than 150 pages.
c.
About 95% of the books have more than 150 pages.
D
About 16% of the books have more than 150 pages.
Answer:
B.
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 180, standard deviation = 30.
150 pages:
150 is 180 - 30 = 1 standard deviation below the mean.
We have that approximately 68% of measures are within 1 standard deviation of the mean, so 100 - 68 = 32% are more than one standard deviation.
The normal distribution is symmetric, which means that of those 32%, 32/2 = 16% are more than 1 standard deviation below the mean, that is, below 150.
So the correct answer is given by option B.
On July 1, 2021 Sikie Shoe Manufacturing Co. issued 45,000 common shares for cash at a Market price of $25
Answer:
$1125000
Step-by-step explanation:
45,000 x 25 = 1125000
Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.
Help me please I have no clue
Answer:
Step-by-step explanation:
You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)
Here you’ll need to use the 30,60,90 degree triangle rule:
The opposite side of 30 degree will be y
30->y
90->2y->12√3 => y=6√3
60->y√3->x => 6√3x√3=6x3=18
To understand the rule better you can check the picture below.Wish it will help you!Good luck!
Camden's gross pay is $2000. Camden gets pald every 2 weeks. Camden's Federal withholding is 15.6% of his gross pay, Social Security is 6.2% of his
gross pay, and Medicare is 1.45% of his gross pay. Find Camden's net pay.
Answer:
1535
Step-by-step explanation:
camdens net pay will be 1535
A store Has Clearance Items that have been marked
down by 30% They are
having a sale, advertising an additional 45% Clearance.
of the original price do you
end up paying?
Not sure what I did wrong here I used the formula I was given. However it’s still wrong.
Answer:
sh 75
Step-by-step explanation:
I don't know what's the method but I hope this will help.if it isn't matching the answer in your book, you can ask me I mean you can tell me.
Hey answer please thanks
Answer:
Volume of a cone = 18 in³
Step-by-step explanation:
diameter of cone = 3 in
radius of cone = 1.5 in (diameter/2)
height = 8 in
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 1.5 × 1.5 × 8)/3
V = 54/3
V = 18 in³