Simplify this algebrtic expression
Z-4/4+8
Dr. McDonald thinks that his group of earth science students is particularly special (in a good way), and he is interested in knowing if their class average falls within the boundaries of the average score for the larger group of students who have taken earth science over the past 20 years. Because he has kept good records, he knows the means and standard deviations for both his group of 36 students and the larger group of 1,000 past enrollees. Here are the data he has, and the values for which you will need to compute the z-test
Noah currently has an account balance of $2,976.45. He opened the account 11 years ago with a deposit of $1,963.45. If the interest compounds quarterly, what is the interest rate on the account?
Answer:
The interest rate is 3.79% or 3.8%
Step-by-step explanation:
The formula to find how much money A we have at the end of t years if we start with a principal or amount of money P today and the interest is compounded n times in the years is:
A=P(1+ r/n)^(nt) (1)
Here A = $2,976.45 the final amount
t = 11 years
P = $1,963.45.
and n = 4 because the interest is compounded quarterly or 4 times in the year.
We the need to simplify the interest rate r in (1) so:
A=P(1+ r/n)^(nt) (1)
A/P = (1+ r/n)^(nt)
(A/P)^(1/nt) = (1+ r/n)
(A/P)^(1/nt) - 1 = r/n
((A/P)^(1/nt) - 1 ) * n = r
r = ((A/P)^(1/nt) - 1 ) * n
We replace values and solve doing parenthesis exponents first
r = ((2,976.45/1,963.45.)^(1/(4*11)) - 1 ) * 4
r= ((1.51^(1/44)) -1)*4
((1.51^(1/44)) -1)*4
r= (1.009499443 - 1)*4
r= 0.009499443 *4 = 0.037997773
That expressed in percentage multiplying by 100 is 3.79% or 3.8% interest
I need help Simplifying!!!!!!!!!!
2x−(x+6)
If d = 20 and C = 20π
If d = 26 and C = 26π
If r = 12 and C = π
If r = 18 and C = 14π
If r = 6 and C = 12π
If r = 50 and C = 100π
^Matches w
then d = 1
then d = 100
then d = 12
then d = 14
then r = 10
then r = 13
What goes w what!
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $53 per half hour, which includes a 6% sales tax. Determine the cost of a half hour rental before tax.
The equation is ?. The cost of a half hour rental is $? Per half hour.
Type an equation using x as the variable.
What is the sum of the geometric sequence −4, 24, −144, … if there are 7 terms?-159,964
−26,661
26,661
159,963
Answ
-159,964
Step-by-step explan
I got it right on the test
In the diagram, m CD = 128° and m DA = 76°. What is m∠ABC?
Answer: The value of m∠ABC is 102° .
Step-by-step explanation:
Since we have given that
m CD = 128°
m DA = 76°
We need to find the m∠ABC, Angle subtended at the center is half of the sum of the measure of the arc intercepted by it.
[tex]\frac{m\ CD+m\ DA}{2}=\angle ABC\\\\\frac{128^\circ+76^\circ}{2}=\angle ABC\\\\102^\circ=m\angle ABC[/tex]
The value of m∠ABC is 102° .
A baker used 4 cups of flour to make 5 batches of brownies. He used_of a cup of flour to make 1 batch of brownies
The figure shows the letter T and four of its transformed images—A, B, C, and D. (See image.)
Which of the four images was formed by a reflection of the letter T?
A) A
B) B
C) C
D) D
math question down below
The angles of a quadrilateral are 140, 80, 60, and 80
What type of quadrilateral could it be?
write the answer as a decimal fraction 14/100=? /10+? /100=?
To write the fraction 14/100 as a decimal fraction, divide the numerator by the denominator. The result is 0.14. Additionally, dividing any number by 100 will result in moving the decimal two places to the left.
Explanation:To write the fraction 14/100 as a decimal fraction, divide the numerator (14) by the denominator (100). 14 divided by 100 is equal to 0.14.
To find an expression as a decimal fraction, you can first convert the fractions to a decimal by dividing the numerator by the denominator.
For example, 10/100 is equal to 0.10 (10 divided by 100) and ?/100 is equal to ? (dividing any number by 100 will result in moving the decimal two places to the left).
Learn more about Converting fractions to decimal fractions here:https://brainly.com/question/11252520
#SPJ2
5x + 6y = 18 and 18x -15y =36
// Solve equation [1] for the variable x
// Plug this in for variable x in equation [2]
// Plug this in for variable x in equation [3]
// Solve equation [2] for the variable y
// Plug this in for variable y in equation [3]
// Solve equation [3] for the variable z
// By now we know this much :
x = -6y-3z-18 y = -2 z = -1// Use the y and z values to solve for x
x = -6(-2)-3(-1)-18 = -3
ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.
What number goes on top and how do you solve it.
Benjamin solved the equation 3+/2=10 and justified each step as shown. Identify Benjamin’s error and fix his mistake.
3+x/2=10 GIVEN
x/2=7 MULTIPLICATION PROPERTY OF EQUALITY
x=14 SUBTRACTION PROPERTY OF EQUALITY
A farmer had 1,000 horses and cows. After selling some of them, he had 550 horses and 350 cows left. How many horses and cows did he sell altogether?
do any of the points below fall on the linear equation shown. Please show work
A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?
Answer: The answer is 35/16 miles
Step-by-step explanation: I have my ways ;>
The formula f= n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the
temperature when n = 75 chirps/min. Round to the nearest whole number, if necessary.
a) 52mc009-4.jpg
b) 53mc009-3.jpg
c) 56mc009-5.jpg
d)58mc009-2.jpg
Answer:
56°F
Step-by-step explanation:
Given : The formula[tex]F = \frac{n}{4} + 37[/tex]estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute.
To Find: Use the formula to estimate the temperature when n = 75 chirps/min.
Solution:
Formula : [tex]F = \frac{n}{4} + 37[/tex]
Where F in degrees Fahrenheit when crickets chirp n times per minute.
Now we are supposed to substitute n = 75
So, [tex]F = \frac{75}{4} + 37[/tex]
[tex]F = 55.75[/tex]
Hence the temperature is 56°F when n = 75 chirps/min.
Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.
find the new amount given the original amount and the percent of change. 29,000; 4% decrease
A frozen yogurt shop weighs customers' cups on a scale to determine how much they will pay for their yogurt. The scale rounds weights to the nearest tenth of an ounce. A weight of 10 ounces or more costs at least $3.
Final answer:
Leslie can find out which yogurt gives her more by converting pounds to ounces. A 2-pound container is equivalent to 32 ounces, which is more than the total of 30 ounces from five 6-ounce containers.
Explanation:
Comparing Yogurt Quantities
To determine which yogurt option provides more quantity, Leslie needs to convert the weights into the same units. This means converting pounds to ounces, or ounces to pounds. In this case, converting pounds to ounces is more straightforward because we deal with whole numbers.
There are 16 ounces in 1 pound, so a 2-pound container of yogurt is equivalent to 32 ounces (2 x 16 = 32). On the other hand, five 6-ounce containers of yogurt total 30 ounces (5 x 6 = 30). Therefore, the 2-pound container gives more yogurt since 32 ounces is more than 30 ounces.
A pet store has 9 puppies and 48 kittens.
What is the ratio of kittens to puppies?
Enter your answer in simplest fractional form in the box.
The ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].
Given:
The number of puppies is 9.
The number of kittens is 48.
To find:
The ratio of kittens to puppies.
Explanation:
The ratio of kittens to puppies is the fraction of the number of kittens and the number of puppies. So,
[tex]\text{Ratio}=\dfrac{\text{Number of kittens}}{\text{Number of puppies}}[/tex]
[tex]\text{Ratio}=\dfrac{48}{9}[/tex]
[tex]\text{Ratio}=\dfrac{16}{3}[/tex]
Therefore, the ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].
Learn more:
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4(x+8)-4=34-2x steps
the tempura temperature halfway to the sun from mercury is aproxamently 1,800 Celsius and scientist theorize that it may be 26,000 times hotter at the center of the sun. aproxamently how hot is the center of the sun
Final answer:
Using the given approximation, the temperature at the Sun's core would be 46,800,000 degrees Celsius. However, scientific data indicates that the accurate temperature is 15 million degrees Celsius, due to nuclear fusion processes occurring at the core.
Explanation:
If the temperature halfway to the Sun from Mercury is approximately 1,800 Celsius and scientists theorize that it may be 26,000 times hotter at the center of the Sun, we can calculate the temperature at the center by multiplying 1,800 Celsius by 26,000. This gives us an estimated temperature of the sun's core at 46,800,000 degrees Celsius. However, according to scientific data, the temperature near the center of the Sun is thought to be around 15 million degrees Celsius (1.5 ×[tex]10^7[/tex] °C) or kelvin, which is much more accurate than the extrapolation from the original question.
Mercury's proximity to the Sun accounts for its high surface temperatures, but without a significant atmosphere, the temperatures fluctuate dramatically between day and night. At the Sun's core, however, the temperatures reach extremes due to nuclear fusion, which releases vast amounts of energy and maintains the central temperature around 15 million degrees Celsius.
How do you write 1/10 in percent
is 5 factor of the number 38 yes or no
Calculate the rounding error when 7.69 is rounded to 1 decimal place