Answer:
The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].
You will have $1,100.55 in the account after 2 years.
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.
Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.
This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]
[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]
[tex]A(t) = 1000(1.004)^{12t}[/tex]
This is the exponential function
How much will you have in your account after 2 years?
This is A(2). So
[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]
You will have $1,100.55 in the account after 2 years.
If Navya babysits 12 hours she earns $48. If she babysits 18 hours she earns $72. Let y represent the total amount of money that Navya earns working x number of hours.
WRITE A EQUATION TO MODEL THE DATA!! 40 POINTS!!
Answer:
Step-by-step explanation:
PLEASE HELP ASAP 20 POINTS
The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft
1) If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?
A) 250 feet
B) 400 feet
C)500 feet
D)750 feet
2) If the width on the scale drawing of the city park is 25 centimeters and the length is 30 centimeters, what is the actual area of the park?
A) 75,000 ft^2
B) 110,000 ft^2
C) 300,000 ft^2
D) 750,000 ft^2
Answer:
1.A
2.B
Step-by-step explanation:
I hope it helps...........
Answer:
1:A
2:B
Step-by-step explanation:WELCOMEEEE HAVE A GREAT DAY :)))((()()(
Jessie spent $10 on 3 hair accessories. Which
point represents this relationship?
Answer:
A
Step-by-step explanation:
(x, y) = (3, 10) . . . . Point A
How do you solve for 5h+34=17
Answer:
h=10.2
Step-by-step explanation:
add 34 on both sides so you would have 5h =51 then you divide 51 by 5 so you are left with h = 10.2! have a great day!!
Marley solve 345 -176 and then checked her work which pair of number sentences did she u
Answer:
Could you finish the question???
Step-by-step explanation:
What are acute and obtuse angles
Answer:
Acute angles are less than 90 degrees and obtuse angles are great than 90 degree angles.
Answer: an acute a is anything lower than 90 degrees. And obtuse is anything higher than 90 degree.
Step-by-step explanation:
The following table shows the number of hours some students in two neighborhoods spend on social media each day
Answer:
pls add the table so i can answer
Step-by-step explanation:
You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?
Answer:
(1000, 18000) is the answer
Step-by-step explanation:
Of the students at Milton Middle School, 144 are girls. If 40% of the students are girls, how many total students are there at Milton Middle school? A. 360 B. 270 C. 450 D. 180
Answer:
A. 360
Step-by-step explanation:
360 total students / 40% population of girls = 144 are girls
Answer:
The answer is A. 360
Step-by-step explanation:
Need help will give brainliest
Answer:
14.6 6 is the likely frequency and 14 is the days if the forcast
2 is 14.2
Step-by-step explanation:
Need an answer:
Graph g(x)=5|x-6|+2
The chandlers are moving across the country. Mr.Chandler leaves 3.5 before Mrs. Chandler. If he averages 80 mph and she averages 90 mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?
Answer:
ghehejdskjkdskjdkjfsd
Step-by-step explanation:
Answer:
Step-by-step explanation:
90t=80(t+3.5) expand right side
90t=80t+280 subtract 80t from both sides
10t=280 divide both sides by 10
t=28 hours
Find the value of x.
A. 35
B. 10
C. 55
D. 25
Answer:
A.35
Step-by-step explanation:
trust bro
Answer:D 25
Step-by-step explanation:
Probability is the chance that some event will occur or a guarantee.
12. A number has an absolute value
of 8. List all of the possible numbers
that have an absolute value of 8
Explain how you know. (Module 3)
Answer:
8 and -8
Step-by-step explanation:
cause thats how math work
types of quadrilaterals and their properties
Answer:
types of quadrilaterals are square, rectangle, parallelogram, rhombus, trapezium, and kite.
Step-by-step explanation:
They have many distinctive properties related to their sides, angles, and diagonals.
A quadrilateral, In general, has sides of different lengths and angles of different measures.
Answer:
Trapezium Properties-One pair of parallel sides.
Rhombus-Properties all sides are equa
Trapezoid Properties-Has one pair of opposite parallel sides
Step-by-step explanation:
0.5 +6.38 = 6.88 because 6.38 is precise to the hundredth digit, so the
answer must also be rounded to the nearest hundredth.
O A. True
B. False
Since 6.38 is precise to the hundredth digit, so the answer must also be rounded/approximated to the nearest hundredth.
How to approximate an expression?For the expression to be precise it has to have the approximation of the least number.
Therefore,
0.5 is 1 decimal place(nearest tenth)
6.38 is 2 decimal place(nearest hundredth)
Therefore,
The answer of the expression 0.5 +6.38 should be in hundredth digit.
Hence,
0.5 +6.38 = 6.88
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The statement that 6.38 is precise to the hundredth digit, so the answer must also be rounded to the nearest hundredth is FALSE
Conversion of decimal numbers.When taking the sum of decimal numbers, the equivalent result must be rounded up to the decimal with least number of decimal place.
Given the expression
0.5 +6.38 = 6.88
The given result is wrong since it is not in 1 decimal place. The correct result should be 6.9. Hence the statement that 6.38 is precise to the hundredth digit, so the answer must also be rounded to the nearest hundredth is FALSE
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3. (6a? - 8a +9) + (5a3 – 12a? - 1)
4. (8y2 – 15y-5)-(-2y2 – 4y + 20)
I want the answer and the steps
Answer:
Simplify the expression 3: 5 a ^3 − 6 a ? − 8 a + 8
Simplify the expression 4: 10 y ^2 − 11 y − 25
given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8? show your work.
Answer:
a) 2.66
b) 9
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that [tex]\sigma = 8.4, n = 10[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when [tex]s = 2.8[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]
[tex]2.8\sqrt{n} = 8.4[/tex]
[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]
[tex]\sqrt{n} = 3[/tex]
[tex](\sqrt{n})^2 = 3^2[/tex]
[tex]n = 9[/tex]
32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 370 grams. If a 32-week gestation period baby weighs 2375 grams and a 41-week gestation period baby weighs 2675 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A.
The baby born in week 32 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 41.
B.
The baby born in week 41 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32.
C.
The baby born in week 41 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 32.
D.
The baby born in week 32 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 41.
Answer:
Step-by-step explanation:
Answer:
Babies of 33 week weighs relatively less than the babies of 41 week.
Explanation:
Z score is determined by
x-u/sd
A) For 33 Week baby
Given
Mean 2500
SD 800
Z score is
2600-2500/800 =0.125
B) For 41 Week baby
Given
Mean 2800
SD 425
x=2900
Z score is
2900-2800/425 =0.235
The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.
Thus, babies of 33 week weighs relatively less than the babies of 41 week.
i dont know this help me
Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled eggs. Who uses make eggs? Explain your answe
Answer:
Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Step-by-step explanation:
Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:
Sonja = 8/12 = 0.666 x 12 = 8
Olga = 5/6 = 0.83333 x 12 = 10
Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Find the area of the shape below.
Hint: Find the area of the two triangles and the square and add them together.
Evaluate each expression if m=4,z=9,and r=1/6
1. 12r
2. 60r - 4
3. 3r power of 2
Answer:
1. 12r= 2
2. 60r - 4= 6
3. 3r power of 2= 1/12
Step-by-step explanation:
1. 12r = 12* 1/6= 12/6= 2
2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6
3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12
or
(3*1/6) power of 2= (1/2) power of 2= 1/4
What is the answer please help me
Answer:
am not really sute bt its ..no
Estimate The Product of 62.375 and 9 (I Need A Clear Answer, DO NOT PUT "SORRY I DONT KNOW BLAH BLAH BLAH I NEED A NICE AND CLEAR QUESTION )
Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!
Step-by-step explanation:
the answer is in the attachment
The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.
The graph of y= 5(x + 1)²– 3The equation y = 5(x + 1)² - 3 represents a quadratic function.
The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.
The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.
The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.
Learn more about graphs at:
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y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution
Answer:
(-1,-1) works (5,5) does not
Step-by-step explanation:
y<1/4x+1[tex]\geq[/tex]3x+2
-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2
-1<-1/4+1[tex]\geq[/tex]-3+2
-1<.75[tex]\geq[/tex]-1
Please this is due in 52 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answer:
Angle S has a measure of 50°
Step-by-step explanation:
When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)
You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)
Bailey spent $12.25 at the arcade on Saturday and $9.50 at the arcade on Sunday. How much money did Bailey spend anogether?
Answer:
21.75
Step-by-step explanation:
i added 12.25 by 9.50