well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160[/tex]
well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.
what if she had left her money for 1 whole year, then
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240[/tex]
so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?
[tex]\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}[/tex]
The equation of a circle is shown. What is the radius? 22 + y2 - 10x + 8y + 16 = 0
Answer:
radius = 5
Step-by-step explanation:
Given
x² + y² - 10x + 8y + 16 = 0Using completing the square method
x² - 10x + 25 - 25 + y² + 8y + 16 (x + 5)² + (y + 4)² - 25 = 0(x + 5)² + (y + 4)² = 25Standard form for equation of a circle
(x - h)² + (y - k)² = r², where r is the radiusOn comparison to our equation in the question :
r² = 25radius = 5 [as distances cannot be -ve]Answer:
radius = 5
Step-by-step explanation:
Question[tex]x^2+y^2-10x+8y+16=0[/tex]
The equation of a circle is shown. What is the radius?
----------------------------------------------------------------------------------
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given equation:
[tex]x^2+y^2-10x+8y+16=0[/tex]
Collect like terms:
[tex]\implies x^2-10x+y^2+8y+16=0[/tex]
Subtract 16 from both sides:
[tex]\implies x^2-10x+y^2+8y=-16[/tex]
Complete the square for both variables.
Add 25 to both sides for x. Add 16 to both sides for y.
[tex]\implies x^2-10x+25+y^2+8y+16=-16+25+16[/tex]
[tex]\implies (x^2-10x+25)+(y^2+8y+16)=25[/tex]
Factor the two variables:
[tex]\implies (x-5)^2+(y+4)^2=25[/tex]
Therefore:
center of the circle = (5, -4)radius of the circle = √25 = 59x^7-36x^4+45x^6=
Please help
Answer:
9x^4 [ x^3 + 5x^2 - 2 ]
Step-by-step explanation:
9x^7 - 36x^4 + 45x^6
=9x^7 + 45x^6 - 36x^4
=9x^4 [ x^3 + 5x^2 - 2 ]
//
I hope this is the answer that you are looking for
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
3/4
Step-by-step explanation:
If Ty and his brothers share a pizza equally, then the pizza is split into four parts because there are four people sharing it. That means that each person has 1/4 of the pizza.
Since Ty has 3 brothers, they share 3/4 of the pizza since 1/4 * 3 = 3/4.
f(x)=2x-1
g(x)=3
h(x)=x²+1
Compute the following:
Find f(3)
The two data sets below depict random samples
of the management salaries in two companies.
Based on the salaries below which measure of
center will provide the most accurate estimation
of the salaries for each company?
• Company A:
1.2 million, 242,000, 265,500, 140,000,
281,000, 265,000, 211,000
• Company B:
5 million, 154,000.250,000, 250,000,
200,000, 160,000, 190,000
Answer:
the anwser is company A ( dont know if you need explanation)
Step-by-step explanation:
need help with question 8
Answer:
Asnwer is in explanation
Step-by-step explanation:
f' (x) = 2x
Hope this helps!
giving brainliest, thanks in advance!!
Cual es la respuestas de esta?
Pregunta:
Al inicio del mess, el valor de una inversion ero de $48.45. Al final del mass, el valor de la inversion cambio con una perdida de $13.80. Cual fue el valor, en dolares, de la inversion al finalizer el mass? escribe tu respuesta en el recuardo
Question in English:
At the beginning of the month, the value of an investment is $48.45. At the end of the mass, the value of the investment changed with a loss of $13.80. What was the value, in dollars, of the investment at the end of the mass? write your answer in the box
Respuesta:
34.65
Answer in English:
34.65
Explicación paso a paso:
Todo lo que necesitas hacer es restar. Reste 48.45 por 13.80. y su respuesta será 34.65
Step-by-step explanation in English:
All you need to do is subtract. Subtract 48.45 by 13.80. and your answer will be 34.65
Your welcome!!!
¡¡¡De nada!!!
The mean of five numbers is 8. If one of the five numbers is removed, the mean becomes 9. What is the value of the number that was removed
Using the mean concept, it is found that the value of the number that was removed was of 4.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
The mean of five numbers is 8, hence, the sum of the numbers is given by:
S = 5 x 8 = 40.
If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:
S = 4 x 9 = 36.
The difference is:
40 - 36 = 4.
Hence, the value of the number that was removed was of 4.
More can be learned about the mean concept at https://brainly.com/question/25122507
#SPJ1
Determine the SURFACE AREA of the 3-D figure below. (Rectangular Prism + Pyramid)
Round answer to the nearest hundredth (if necessary).
Fin
2.5 cm
3 cm
3 cm
3 cm
3 cm
3 cm
how would i find the volume??
please help asap!! i don't really understand this
Answer:
17*12 area of triangle is base*height
Answer:
Use the formula for the area of a triangle:
A = BH x 1/2
Where 'B' represents the base, 'H' the height, and multiplying by 1/2 just means dividing the product of those two lengths by 2.
What we know:
Base = 12 feetHeight = 17 feetWhich is all we need to know, so plug these values into our formula;
A = BH x 1/2
A = 12(17) x 1/2
Now just solve:-
A = 204 x 1/2
A = 204/2
A = 102, the area of this triangle is 102 ft²!
You work as an office administrator and are paid $18.65 per hour and work 80 hours in 2 weeks. How much is your straight time pay?
To find the straight time pay for two weeks,
we'll multiply the amount per hour to the number of working hours
hence,
Straight time pay ⇢$18.65 x 80Straight time pay⇢$ 1,492___________________________________
The Straight time pay of one week would be ,
⇢40 x $18.65⇢$746___________________________________
Straight time pay of a month would be,
⇢160 x $18.65⇢$2,984___________________________________
Weeks no is not of any use here
Straight time pay:-
18.65×80$1492please help im not good with area and circumference when it comes to circles
-2-0.5b+12=0.3b+6.2
Step-by-step explanation:
-2 -0.5b + 12 = 0.3b + 6.2
-2 + 12 - 6.2 = 0.3b + 0.5b
3.8 = 0.8b
b = 3.8/0.8
= 4.75
Answer:
4.75
Step-by-step explanation:
-2-0.5b + 12 = 0.3b + 6.2
Move all terms to the left:
-2-0.5b + 12 - (0.3b + 6.2) = 0
Add all the numbers together, and all the variables
-0.5b - (0.3b + 6.2) + 10 = 0
Get rid of parentheses
-0.5b - 0.3b - 6.2 + 10 = 0
Add all the numbers together, and all the variables
-0.8b + 3.8 = 0
Move all terms containing b to the left, all other terms to the right
-0.8b = -3.8
b= -3.8/-0.8
b= 4+0.6/0.8
b= 4.75
Plot and connect the points A(-4, 5), B(2, -4), C(-4, -4), and find the area of the triangle formed.
Answer:
i think this is the answer
Its worth 20 points but i need it within 10 minutes or less!
She calculates two regression models. which is true? the linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months. the linear model better represents the situation because according to the exponential model, the repayment amount will never be 0. the exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months. the exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.
The answer is A.thus, this is a linear model. To check,you can see visually that the points are more fitted to the line than the curve.
What is linear regression?Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.
The difference between the linear model and the exponential model is the degree of difference of consecutive points. If their difference is constant, then it is more appropriate for the linear model. If their difference is increasing at a very fast rate, then that follows an exponential model. With that being said, let's look at the differences at every 6 month-intervals.
2700-2110 = 590
2110-1500 = 610
1500-870 = 630
870-220 = 650
Their differences are about the same having a mean of 620. Thus, this is a linear model. To check,you can see visually that the points are more fitted to the line than the curve. The answer is A.
To know more about Linear regression follow
https://brainly.com/question/25987747
Answer:
A is the correct answer
Step-by-step explanation:
Can anyone help with Discriminants in math??
(“number and types of solutions” is what the rest says)
#1
3x²-3x+2D:-
b²-4ac(-3)²-4(3)(2)9-24-15D<0 so unequal and un real roots
#2
b²-4ac(-10)²-4(1)(1)100-496D>0 so unequal and real roots
#3
(-4)²-4(4)(1)16-160Equal and real roots
Answer:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
------------------------------------------------------------------------------------------------
Question 5
Given function: [tex]f(x)=3x^2-3x+2[/tex]
[tex]\implies a=3, \quad b=-3, \quad c=2[/tex]
Inputting these values into the discriminant:
[tex]\implies \textsf{discriminant}= (-3)^2-4(3)(2)=-15[/tex]
As -15 < 0 there are no real solutions
------------------------------------------------------------------------------------------------
Question 6
Given function: [tex]f(x)=x^2-10x+1[/tex]
[tex]\implies a=1, \quad b=-10, \quad c=1[/tex]
Inputting these values into the discriminant:
[tex]\implies \textsf{discriminant}= (-10)^2-4(1)(1)=96[/tex]
As 96 > 0 there are two real solutions
at [tex]x=5 \pm 2\sqrt{6}[/tex]
------------------------------------------------------------------------------------------------
Question 7
Given function: [tex]f(x)=x^2-4x+4[/tex]
[tex]\implies a=1, \quad b=-4, \quad c=4[/tex]
Inputting these values into the discriminant:
[tex]\implies \textsf{discriminant}= (-4)^2-4(1)(4)=0[/tex]
As 0 = 0 there is one real solution
at [tex]x=2[/tex]
Emily is working with rolling a standard number cube (die) and flipping a quarter.
Which experiment can yield a 50% probability?
Answer:
flipping a quarter
Step-by-step explanation:
a quarter has two sides so the chance of getting one is 1/2
a dice has 6 sides so the chance of getting a certain number is 1/6
Kasey wants to wrap light strips completely around her circle shaped mirror. She
measured the radius of the mirror at 2 ft. Lights strips at her local store are sold by
the foot. What is the minimum length of lights that Kasey can buy to make sure
there are lights all the way around her mirror?
Suppose you own a home worth $185,325 and your property tax is 1.5%. How much are you liable to pay at the end of the year?
Answer:
$ 2779.88
Step-by-step explanation:
185 325 x 1.5 % =
185 325 x .015 = 2779.88
(10/2) / 3 = 10/ (2/3)
O A. True
O B. False
Answer:
It is False
Step-by-step explanation:
The answer is not the same.
How much money would Henry have initially borrowed if he accumulated $760 in interest after 2 years at an annual rate of 3.2%
Answer:
380
Step-by-step explanation:
760 divide 2= 380
Ruby is making a punch. for every 3/4 cups of juice, ruby adds 1/2 cups of soda. Enter the number of cups of juice will ruby add for one cup of soda.?
Answer:
She would need 6/4 or 1 1/2 cups juice
Step-by-step explanation:
Answer:
1.5 cups of juice.
Step-by-step explanation:
1 / 0.5 = 2
0.75 x 2 = 1.5
Express 0.246666…… as a rational number
there are 10 apples for every 6 bananas how many bananas are there if there are 20 apples?
What if there are 15 apples?
brelynn has a piece of ribbon that is 3/4 yard long. how many 1/12 yard pieces can she cut? help
The Brelynn can cut 9 pieces from the piece of ribbon that is 3/4 yard long of 1/12 yard.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's assume Brelynn can cut x pieces from the piece of ribbon that is 3/4 yard long.
So from the problem:
[tex]\rm \frac{\frac{3}{4} }{x} = \frac{1}{12}[/tex]
[tex]\rm \dfrac{3}{4} = \dfrac{x}{12}[/tex]
x = 9 pieces
Thus, the Brelynn can cut 9 pieces from the piece of ribbon that is 3/4 yard long of 1/12 yard.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
Suppose you carry out a significance test of h0: μ = 8 versus ha: μ > 8 based on sample size n = 25 and obtain t = 2. 15. Find the p-value for this test. What conclusion can you draw at the 5% significance level? explain.
a the p-value is 0. 2. We reject h0 at the 5% significance level because the p-value 0. 02 is less than 0. 5.
b the p-value is 0. 2. We fail to reject h0 at the 5% significance level because the p-value 0. 02 is less than 0. 5.
c the p-value is 0. 48. We reject h0 at the 5% significance level because the p-value 0. 48 is greater than 0. 5.
d the p-value is 0. 48. We fail to reject h0 at the 5% significance level because the p-value 0. 48 is greater than 0. 5.
e the p-value is 0. 52. We fail to reject h0 at the 5% significance level because the p-value 0. 52 is greater than 0. 5
Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:
a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.
What is the relation between the p-value and the conclusion?It also involves the significance level, as follows.
If the p-value is less than the significance level, we reject the null hypothesis [tex]h_0[/tex].If it is more, we do not reject.In this problem, a t-distribution calculator for a right-tailed with t = 2.15 and 25 - 1 = 24 df is used to find a p-value of 0.02.
It is less than 0.05, hence option a is correct.
More can be learned about p-values at https://brainly.com/question/26454209
3/4x= 12, what must x be?
x=16
x=4
x=3
x=48
Answer:
x=16
Step-by-step explanation:
12 is three fourths of x, there are three 1/4s that make up 12.
Divide 12 by three to find out 1/4 is.
Then simply multiply that by four.