Answer:
P(19)=$19,852
To the nearest dollar.
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P(t)=P_o(1+r)^t[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.
Substituting into the general equation:
[tex]12,000=6,000(1+r)^{11}[/tex]
Dividing by 6,000 and swapping sides:
[tex](1+r)^{11}=2[/tex]
Taking the 11th root:
[tex]1+r=\sqrt[11]{2}[/tex]
[tex]1+r=1.065[/tex]
Substituting into the formula:
[tex]P(t)=6,000(1.065)^t[/tex]
Now we need to find the money in the account after t=19 years:
[tex]P(19)=$6,000(1.065)^{19}[/tex]
P(19)=$19,852
To the nearest dollar.
Can you help me please
Answer:
pretty sure 8.5 inches
Step-by-step explanation:
Answer:
68 inches
Step-by-step explanation:
16 + 1 = 17
16 divided by 2 = 8
so 8 x 8 = 64
so that leaves one year- 4 inches
64+4=68
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answer: the answer is C. Gloria’s time was 0.5 minutes faster.
Step-by-step explanation: i just took the test
this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week
Answer:
lost 12
Step-by-step explanation:
Can someone help me please
Answer:
reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th
Step-by-step explanation:
what is the unit rate of Y= -10x
Answer:
"-10 units per unit increase in x"
Step-by-step explanation:
That "-10" is the rate of change: "-10 units per unit increase in x."
HELP ASAP 30 PTS
determine the range of the following graph:
Answer:
[tex]-6\leq y[/tex]∠ 4
Step-by-step explanation:
range is the values for y: y can be (including) -6 all the way up to (not including) 4
Alan had already read 12 books this year before joining a book club, and he plans to read 1
book every month now that he has joined. If Alan has read 19 books so far, how many
months has he been with his book club?
Respuesta:
Step-by-step explanation:
7 libros
12 - 19 ⇒ 7
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
6c2+2c4−c
Answer:
46;&74)474:&48&4:&48&
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
Is 835% less than 0.95
Answer:
no, 835% is not less than 0.95.
Step-by-step explanation:
as a percentage, 0.95 is 95%. 835% is greater than 95%. hope this helps.
Answer:
No
Step-by-step explanation:
835% as a decimal would be 8.35 and 0.95 is what you are comparing it to, so you could look at it's whole number and you see that it is bigger than zero so it is indubitably more than 0.95.
Hope this helps :)
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra
Solve for a. -2(a-3)=12
Answer:
a=9
Step-by-step explanation:
Answer:
-2a+6=12
-2a=12-6
-2a=6
-2a=6
Divide both sides by -2a
a=-3
Step-by-step explanation:
I REALLY NEED HELP AND FAST!
Kendra earned a total of $368 for 46 hours of yard work. After doing a total of 115 hours of yard work, how much money will Kendra have earned? Assume the relationship is directly proportional.
Answer:
With ignoring the last sentence the answer is 920.
Step-by-step explanation:
115/46=2.5
2.5*368=920
Write an equation for the description.
A number x increased by 19 is 118.
Answer:
99
Step-by-step explanation:
99 + 19 = 118
Solve for p. 3/5(p - 3) = -4
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
Find the constant of proportionality (unit rate) for each set of values
profit per shirt sold
shirts: 5 10 15
profit: $7.50 $15.00 22.50
Answer: 1.5
Step-by-step explanation:
7.50/5 = 1.5
15/10 = 1.5
22.50/15 = 1.5
Answer:
$1.50
Step-by-step explanation:
To find the unit rate, we can divide the number of shirts to the profit that was made to find the unit cost per shirt.
7.50 / 5 = $1.50
15 / 10 = $1.50
22.50 / 15 = $1.50
Best of Luck!
HURRY and answer the math
Answer:
D) y=3x+1
Step-by-step explanation:
If you fill in the numbers y=3x+1 is the equation that will always be true for the chart.
hope this helps
If a varies inversely with b, and a=20 when b=14, find the equation that relates a and b.
Answer:
ab = 280
or
a = 280/b
Step-by-step explanation:
Inverse variation is of the form
xy = k
Since we have a and b as our variables
ab = k
20 *14 = k
280 = k
ab = 280
Sometimes they write it as
a = 280/b
Solve -12t ≥-6
.......
Answer:
t=2
Step-by-step explanation:
What is the Desmos Graphing App for Algebra and how do you use it. Is it a computer thing or do you download it on your phone?
Answer:
see below
Step-by-step explanation:
The Desmos graphing utility is available as an app for phone or tablet from the app stores for Android and Apple devices. It is available from the desmos web site by clicking on "Graphing Calculator" on the home page.
Attached is a screen-shot of the web version. Help can be found under the (?) button at upper right. I found the help to be useful when first starting or when trying to do something I haven't done before.
You can create an account, if you like, but that is not necessary to obtain all of the basic functionality.
A link for sharing a graph will be generated by clicking on the icon to its left. Graphs can also be saved for later reference, if you have an account. The link to a graph will work whether you have an account or not.
__
There are other desmos tools available, too, for general calculation, geometrical construction, and matrix manipulation. (I have not yet used those.)
_____
Desmos likes to use x and y for the independent and dependent variables, respectively. You can define something like h(t) = 5t+1 and it will graph it as though it were y=5x+1. When you click on an equation or graph, points of intersection with other graphs or with the axes will be highlighted. Clicking on those highlights will give their coordinates.
Equations don't need to be of the "y=" form. For example, you can use x^2+y^2=1 to make a unit circle. The usual math symbols work for keyboard input (* for multiplication; / for division; ^ for exponents). The tab or arrow keys move out of denominator or exponent fields. To make more complicated exponents, parentheses help.
There's so much more it can do. It is worthwhile to visit the on-line tutorial information.
Find the exact value of Cosine (alpha minus beta) given sine (alpha) = negative four-fifths= and cos (beta) minus StartFraction 5 Over 8 EndFraction = for α in Quadrant III and ß in Quadrant II.
Answer:
Actual answer is [tex]\frac{15-4\sqrt{39} }{40}[/tex]
Step-by-step explanation:
I don’t know how to do this one.
Answer:
(a) The unit circle is centered at (0,0) with a radius of 1.
(b) The equation of a circle of radius r, with a center located at (0,0):
x²+ y² = r².
(c) (i) P(1,0)
(ii) P(0,1)
(iii) P(-1,0)
(iv) P(0,-1)
Step-by-step explanation:
Part (a)
The unit circle is centered at (0,0). This point is the origin.
The radius of the unit circle is 1
The term "unit" means "one", which describes the radius length.
=========================================================
Part (b)
The equation of the unit circle is x^2+y^2 = 1
The general equation of any circle is (x-h)^2+(y-k)^2 = r^2
In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.
=========================================================
Part (c)
The following four points are on the unit circle
(1,0)(0,1)(-1,0)(0,-1)As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.
For example, if we know x = 1, then...
x^2+y^2 = 1
1^2+y^2 = 1
1+y^2 = 1
y^2 = 1-1
y^2 = 0
y = sqrt(0)
y = 0
Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.
which of the above objects is moving the fastest?
A. A
B. B
C. All 3 objects are moving at the same speed
D. C
Answer:
b is moving the fastest
Step-by-step explanation:
c looks like its closer and a looks like its faster but b has both so b is the fastest to get there
Answer:
the answer is A
Step-by-step explanation:
bc since object a has the line with the steepest positive slope object a is moving the fastest
a student claims 3.657 is a rational number. which statement is correct
Answer:
poope
Step-by-step explanation:
dhishd ok wbeiebeijfid djdiixe
Answer:
Step-by-step explanation:
The student is correct because the number has decimal expansion that repeats.
A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
sorry if it appears messy!!!
Step-by-step explanation:
Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15
PLEASE, I'm begging you, PLEASE explain step-by-step how to get to your answer. Please don't just give me the answer and not explain anything, I'm begging you
6 - (3x+10) + 4(2-x)=15
6- (3x +10) + 8-4x = 15. ( opening brackets)
-3x - 4x= 15 - 6-8. ( keeping all x terms on left and moving numbers to the right)
-7x = 1
x= 1/-7
Hope this helps:)
Four times a number add to 9 times the number is 65. What is the number?
Answer:
5
Step-by-step explanation:
Answer
Answer = 5
Step-by-step explanation:
amberlouise2
Ambitious
71 answers
3.6K people helped
4 X 5 = 20
9 X 5 = 45
20 + 45 = 65
You bought 4 pizzas and paid $7.00 each and cut the pizza into 8 equal slices. You
then sell the slices for $1.75 each. How many pieces would you have to sell to to pay
for the original cost of the 4 pizzas?
Answer:
You would have to sell
16 slices to pay for the
original price of the 4
pizzas
Step-by-step explanation:
$7.00 a box so you would have to multiply to get to
full price. $7.00x4=$28.00 The full price is $28.00.
If you are selling the slices for $1.75 each you would
also have to divide to know how many slices to sell
to get back to $28.00. 28.00÷1.75=16. So you would
have to sell 16 slices to get back to the full price.
Hope this helps.
Have a nice day :)
Do you think you
give me brainliest
plz :)
what is the total of 87,326;17 and 60
Answer: 490
Step-by-step explanation: 87+17+60+326 = 490
HELP FAST PLZ!!!!!! (07.01)
What is the value of x in the equation 8 + x = 37
O -5
O 5
O 11
O 24
Answer:
x = 29
Step-by-step explanation:
8 + x = 37
Subtract 8 from each side
8-8 + x = 37-8
x = 29
Mr.Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds . find the average change in speed each second
Answer: 3mph/seconds
Step-by-step explanation:
Divide 30 by 10. 30mph/10seconds = 3mph/seconds