Answer:
82/12
Step-by-step explanation:
Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?
Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab
Tony Peyton, age 20, would like to have $1,000,000 by the time he is 65 years of age. If Tony could earn 6.9% annual interest compounded monthly, how much must he invest now to have $1,000,000 by the time he is 65?
Using compound interest, it is found that he must invest $45,225 now.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
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. t is the time in years for which the money is invested or borrowed.In this problem:
He wants to have $1,000,000 in 65 - 20 = 45 years, hence [tex]t = 45, A(t) = 1000000[/tex].6.9% annual interest, hence [tex]r = 0.069[/tex].Compounded monthly, hence [tex]n = 12[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]
[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]
[tex]P = 45225[/tex]
He must invest $45,225 now.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
He must invest $45,225
We didn’t learn this so I need help! Please provide a good explanation so that I will be able to do problems like his on my own in the future.
Answer:
Ask your teacher to explain it. I think that the answer is one hundred and thirty-two dollars.
Step-by-step explanation:
The simple interest follows this formula:
I = C x r% x t
– C would be the capital; the money that is provided (in this case, $1600)
– r would be the rate, which could be annual, monthly, etc. In this scenario, it's not specified. Therefore, we assume that it's annual as the time is given in years. (It would be equal to 2,75, but don't forget about the percent symbol %, which is equal to 1/100)
– Finally, t stands for time.
Remember that both time and rate must be in the same measurement (annual, monthly, etc).
You multiple everything, and the result is $132
Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?
Answer:
62.273
Step-by-step explanation:
sorry it took me a little while to translate i speak only english
What is the probability of picking an 8 and then picking a number greater than 6?
I NEED ASAP ON THIS MATH PROBLEM
Given that k=cd2 + e find the value of c when k=3 ,d=2 and e = 5
Answer:
c = -1/2
Step-by-step explanation:
Put the known values in the equation and solve for the unknown.
k = cd² +e
3 = c(2²) +5
-2 = 4c . . . . . . . subtract 5
-1/2 = c . . . . . . divide by 4
Which of the following lists of ordered pairs is a function?
Answer:
Option D.
Step-by-step explanation:
A function is a relation in which one input (x-value) is assigned to exactly one output (y-value).
Since option D's x-values do not repeat, then it is a function.
Hope this helps.
Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100?
What we know:
Korena is paid $40 every five times she does the job
What we need to figure out:
How many times does she have to do it to earn $100
Math:
First I'm going to figure out how much she makes each time she weeds
Money earned ÷ Amount of times
40 ÷ 5
= 8
In order to determine the rest of the time we are going to multiply everything we know by 2
Korena is paid $80 if she does it 10 times
We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;
($8 per time)
Korena is paid $88 if she does it 11 times
Korena is paid $96 if she does it 12 times
Korena is paid $104 if she does it 13 times
Statement
Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.
Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).
Answer:
[tex]y=-\frac{1}{3}x-4[/tex]
Step-by-step explanation:
To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.
Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:
[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]
Then, solve for b:
[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]
Finally, with both the slope and the y-intercept, you can write the equation of the line:
[tex]y=-\frac{1}{3}x-4[/tex]
hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0
solve the problem by dividing it into full squares:
x²-8x-8=0
this will be the answer
1: x=-4 or x=-3 and the second can be shown clearly
What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?
Which statement about f ( x ) = x 2 + 5 x − 84 is true?
Answer:
It is False
Step-by-step explanation:
Evaluate the function.
f(x)=-3x^2-20
Find f(−7)
Answer:
Answer: f(-7) = -167
Step-by-step explanation:
[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]
• When x is -7, f(x) is f(-7):
[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]
Based on the calculations, the evaluation of this function is equal to -167.
Given the following data:
[tex]f(x)=-3x^2-20[/tex]How to evaluate a function.In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.
Note: The value of x is equal to -7.
Substituting the given parameter into the function, we have;
[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]
f(-7) = -167.
Read more on function here: https://brainly.com/question/10439235
The probability of event A is 0.53 and the probability of event B is 0.17. The probability of A and B occurring is 0.901. Which statement accurately describes these two events?
Explanation:
We're given that
P(A) = 0.53P(B) = 0.17P(A and B) = 0.901Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
Which function has a more negative slope?
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
__
The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.
please help with geometry problems
Answer:
put your best gees
Step-by-step explanation:
help pls!! I will mark brainliest!! :(
Answer:
Three choice
Step-by-step explanation:
I think.
Which expression is equivalent to 3 2 times 3-5 ?
Answer:
A)
Step-by-step explanation:
pls someone help if you do all 3 i'll give you brainliest
Xavier's living room is rectangular and measures 3 meters by 3 meters. Beginning in one
corner, Xavier walks the length of his living room and then turns and walks the width. Finally,
Xavier walks back to the corner he started in. How far has he walked? If necessary, round to
the nearest tenth.
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Solution here,
Principal=?
Time =3 year
Rate of percent= 4.5
SIMPLE intrest=$405
Now
Principal=(SIMPLE INTREST × 100)/(TIME × RATE)
=$40500/13.5
=$3000
I need help plz
12
10
8
12.5
Answer:
8
Step-by-step explanation:
pls add the polynomials and find degree 1. p(x) = 6x² – 7x + 2 q(x) = 6x³ – 7x +15 2.h(x) = 7x³ – 6x + 1 f(x) = 7x² + 17x – 9
First let us know about Polynomial –
The degree of a polynomial is defined as the highest power on a variable in a polynomial.Types of polynomials based on the degree–
[tex]\qquad[/tex] ☀️ Constant polynomial :-
A polynomial having 0 as its degree is known as a constant polynomial.Example : 6 (6x⁰ : degree of x : 0)
[tex]\qquad[/tex]☀️ Quadratic polynomial :-
A polynomial having 2 as its degree is known as a quadratic polynomial.Example : 3x² + 7x + 6 (3x² : degree of x : 2)
[tex]\qquad[/tex]☀️ Cubic polynomial :-
A polynomial having 3 as its degree is known as a cubic polynomial.Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]
The degree of the polynomial is 3.[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]
[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]
The degree of the polynomial is 3.1) The degree of the polynomial is 3.
2) The degree of the polynomial is 3.
An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.
an arrow is shot vertically upward from a platform 18ft high at a rate of 184ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)
Answer:
h(t) = -16t2 + 184t + 18
at the ground h = 0
hence; -16t2 + 184t + 18 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)
Step-by-step explanation:
what figure is a rotation of figure
Answer:
b
Step-by-step explanation:
what grade?
As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?
Answer:
Step-by-step explanation:
Wind, friction and terrain (flat versus hilly) all oppose motion of the bike. Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).
6x+3y=-3 how to graph it need answers quick
Answer:
Equation in slope intercept form: y = -2x -1
Step-by-step explanation:
First you must convert this equation from standard form to slope intercept form (y=mx+b).
Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.
Now to graph:
First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.
Next we will go down 2 units and over to the right 1 unit, until we get to the next point.
(Picture is attached above for your convenience⤴⤴⤴)
Hope this helps you :)