Complete question :
Dusty won $125,000 on the Who Wants to be a Zillionaire? game show. He decides to place the money into an account that earns 6.25% interest compounded annually and plans not to use any of it until he retires. a. Write an equation that represents the amount of money Dusty will have in n years. b. How much money will be in the account when he retires in 23 years?
Answer:
A = 125000(1.0625)^n ;
$504052.30
Step-by-step explanation:
Going by the compound interest formula :
A = P(1 + r/n)^nt
Here, P = amount won ; A = final amount ; r = interest rate = 6.25% = 0.0625 ; n = 1 ; t = number of years
Hence, the amojt of money, A Dusty will. Have in n years ;
A = 125000(1 + 0.0625)^n
A = 125000(1.0625)^n
Amount he'll have in 23 years
n = 23
A = 125000(1.0625)^23
A = 125000 * 4.03241
A = $504052.30
Max read 1/3 of his at school. He reads 22 more pages when he arrives home, making 127 pages read so far. How many pages are in Max's novel?
Answer:
315
Step-by-step explanation:
127-22=105
105 times 3 is equal to 315.
Answer:
Step-by-step explanation:
315!!!!!
A cheetah attends the speed of 110 km per hour but the fastest human Sprinter goes a hundred meters in 9.58 seconds. How many times faster is the cheetah than the human sprinter
Answer:
73.27 km/hr
Step-by-step explanation:
The fastest human sprinter sprints 100 metres in 9.58 seconds. Thus, speed of sprinter is;
V_sprinter = 100/9.8
V_sprinter = 10.204 m/s
Now, from conversion, 1 m/s = 3.6 km/hr
Then, 10.204 m/s = (10.204 × 3.6)/1 = 36.73 km/h
The cheetah sprints 110 km/hr
Thus, the cheetah is faster by: 110 - 36.73 = 73.27 km/hr
what is 13 D + 8 equals -1
solve for d
Answer:
D= -9/13
Step-by-step explanation:
13d+8−8=−1−8
13d=−9
13d /13 = −9 /13
Hope this helps!
A sample of 85 chewable vitamin tablets have a sample mean of
272 milligrams of vitamin C. Nutritionists want to perform a
hypothesis test to determine how strong the evidence is that the
mean mass of vitamin C per tablet differs from 270 milligrams.
State the appropriate null and alternative hypotheses.
Answer:
The null hypothesis is that the mean vitamin C, μ is equal to the sample mean μ₀
The alternative hypothesis is that the mean vitamin C, μ is not equal to the sample mean μ₀
Step-by-step explanation:
The number chewable vitamin tablets in the sample, n = 85
The mean amount of vitamin C, μ₀ = 272 milligrams
The hypothesis test is to determine the strength of the evidence that the mean mass of vitamin C per tablet differs from 270 milligrams
The null hypothesis, H₀: μ = μ₀ =272 milligrams
The alternative hypothesis, Hₐ: μ ≠ μ₀ = 272 milligrams
Mrs Kennedy eats 5% of a bag of 300 gummy bears every day how many gummy bears does she eat per day
Answer: 15
Step-by-step explanation: 5 % means 0.05
0.05 ·300 =15
Maria is buying several items that cost $128.25 in total. She is using a store
coupon for 20% off her purchases. She has to pay 8.75% sales-tax. How much
did she pay? *
Help me
the coupon is 35% off, therefore, she actually paid 65%
0.65(128.25) = 83.36 (what she paid without tax)
now we add the sales tax of 4%
83.36 (1.04) = 86.69 <== total cost
~PLEASS HELP FAST~
Determine weather y varies directly with x. If so, find the constant of variation and write the equation
The table shows the relationship between Megan's earnings and the hours that she worked.
What is the missing value in the table?
Please help me Mr Thompson!!! MY HOMEWORK!
Answers:
C) Factored form.C) Standard form.D) -8B) y = x^2B) 2 solutions: x = plus/minus 5======================================================
Explanations:
Factored form is whenever we have two or more expressions being multiplied like you see here. A more simpler example may be breaking 36 into 12*3, or 36 = 12*3. We say that 12*3 is the factored form of 36. The two pieces 12 and 3 multiply to 36.Standard form for quadratics is ax^2 + bx + c. The exponents count down: 2,1,0. You can think of it as ax^2 + bx^1 + cx^0. In this case, a = 2, b = 1, c = -3.The y intercept always occurs when x = 0. Plugging this value in leads to y = -8. The y intercept is located at (0,-8). The last value at the end, the constant term, is always the y intercept. This is one handy feature of standard form quadratic equations.The parent function of any quadratic is always y = x^2. From this parent function, we can derive any scaled version in the form y = ax^2, and we can also apply shifting to get y = (x-h)^2 or y = x^2+k. All together, we can generate y = a(x-h)^2 + k to represent both scaling and shifting. That last equation is vertex form which can convert to standard form shown in choice C. There are two solutions and the solutions are x = -5 and x = 5. Note how x^2 = (5)^2 = 25 and x^2 = (-5)^2 = 25. The two negatives cancel out when we multiply. Be sure to have the negative inside the parenthesis. We don't say -(5)^2 = -25.
HELP PLSSS ,also hows ur day been?
Answer:
72 units squared
Step-by-step explanation:
My day have been great!
Answer:
72 cubic units
Step-by-step explanation:
have a nice day
this is the third time i have asked this can someone please just give me the right answers please
if you are RIGHT i will mark as brainliest
and DO NOT answer this for points (like leaving a blank answer for example)
Answer:
3.since two base side are equal
4.sum of interior angle of the triangle is 180
9.base angle of isosceles triangle
16.the inscribed angle from the diameter is 90°
21.being CAE=90°
Step-by-step explanation:
ta
Cathy is 5 ft tall and casts a 12 ft shadow. At the same time of day, a
nearby building casts a 96 ft shadow. How tall is the building?
Answer:
40 ft
Step-by-step explanation:
Here tan()5/12 hence h/96 is equal to tan()
I need the answers to this: 3(2x-5)= 27
Answer: x=7
Step-by-step explanation: First, remove 3 from both sides by dividing. You will end up getting 9. Since 2x-5 = 9, add 5 from both sides by adding leaving you with 2x = 14. Divide 14 by 2 to get 7.
how do you find the x for this and the angles, thanks in advance
HOPE THIS HELPS...
Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.
Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.
Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.
On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.
The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.
In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.
Step-by-step explanation:
2x + 15° + x = 180° { Being co-interior angles }
3x = 180°- 15°
3x = 165°
x = 165° / 3
x = 55°
2x + 15° = 2 *55° + 15° = 125°
Hope it will help :)❤
Complete the statement. 400 mm = ___ cm
Answer:
40 cm
Step-by-step explanation:
divide the length value by 10
400 / 10 = 40
Answer:
400 mm = 40 cm
Step-by-step explanation:
Athena sells plates at a deal of 5 for $10. If Athena sells 25 plates per every half hour, how much money will Athena make?
Answer: 50$ every 1/2 hour
Step-by-step explanation:
25 ÷ 5 = 5
5 x 10 = 50
Spencer is going snowboarding. He rode the ski lift to the top of the mountain,
which is at an altitude of 1300 feet. The angle of elevation from the bottom to the
top of the mountain is 25°. What is the length of the Spencer's run (his trip down
the hill)?
I was wondering...What are the properties/qualities of a rhombus?
Answer:
All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.
Sum of any two adjacent angles is 180°
please help me with this question!
Allys little sister wanted to help her make some oat meal cookies First she put 5/8 cup of oat meal in the bowl. Next she added another 5/8 cup of oat meal . Finally she addded anther 5/8 cup of oat meal . How much oat meal did she put in the bowl.
Answer:
1 7/8 or 1.875 cups
Step-by-step explanation:
This can be solved by adding the 3 fractions together
[tex]\frac{5}{8} + \frac{5}{8} + \frac{5}{8}[/tex]
[tex]\frac{5 + 5 + 5}{8}[/tex]
[tex]\frac{15}{8}[/tex] = [tex]1\frac{7}{8}[/tex]
Since the 3 cups added are the same size, this can also be solved by multiplication
5/8 x 3 = 1.875 cups = 1 7/8 cups
Seventy-five increased by a number - What Mathematical operation is used?
A- Multiplication
B-Division
C-Subtraction
Answer:
a
Step-by-step explanation:
I think it's A so I said A
Answer:
the correct answer is C
Step-by-step explanation:
Solve and graph: -2(4x-6) <12
Step by step please!
Answer:
x>0 to graph put a circle on 0 and draw the line going to the right ---->
Step-by-step explanation:
Find the measure of the central angle (xº).
A dessert recipe calls for image cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
Answer:
1.05
Step-by-step explanation:
Answer:
u;t5g3ji/lfvjk.dvnjfvjk.f
Step-by-step explanation:
Find the value of or in the triangle shown below. 97 47
I don’t understand this A gym has 11 rows of elliptical machines with 13 machines in each row. The gym also has 14 rows of treadmills with 12 treadmills in each row. What is the maximum number of people that can use the elliptical machines and the treadmills at the same time?
Answer:
311
Step-by-step explanation:
11x13=143
14x12=168
143+168=311
Fild the slope of the line.( in the picture)
Answer:
m = 3/1
Hope that helps!
Answer:
-12/4 or -3Step-by-step explanation:
I can give you step by step if u want, just ask, but if you want the answer fast: its -3
-11+13r+6q-3r-3q+13 please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3q+10r+2
Step-by-step explanation:
You need to combine like terms/simplify
so lets combine:
6q and -3q
13r and -3r
-11 and 13
3q+10r+2
If there are 36 apples in 2 boxes, then
there are
apples in 5 boxes.
Answer:
90 apples in 5 bboxes
Step-by-step explanation:
Write 52% as a decimal and a simplified fraction.
Answer:
Decimal: .52
Fraction: 13/25
Step-by-step explanation:
As a Decimal, 52% would be .52
All you have to do to get that, is to move the decimal over twice.
So as a fraction, you would put 100 as the denominator because 100 is how high a percent can get.
52/100 → 13/25