Jon places $6,500 in his bank account that grows at a rate of 3% per year.
Write a function (equation) that models this relationship. (2 points).
The function (equation) that models this relationship is
Answer:
Step-by-step explanation:
When interest compounds once per year, the formula for this is
[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate at which it grows, and t is the time in years. Therefore, our model is
[tex]A(t)=6500(1+.03)^t[/tex] or simplified a bit:
[tex]A(t)=6500(1.03)^t[/tex]
Given m|n, find the value of x.
(6x-4)°
(3x+4)°
Answer:
6x-4+3x+4=180{ straight angel}
9x=180x=180/9x=20°stay safe healthy and happy.....If g(x) = 2 - 5x, what is the value of g(2) - g(5)?
Answer:
15
Step-by-step explanation:
the steps are in the pic above
Evaluate what’s in the picture.
Answer:
8P3 = 336
9C4 = 126
Step-by-step explanation:
8P3 = 8! ÷ 5! = 8x7x6 = 336
9C4 = 9! ÷ (5!·4!) = (9x8x7x6) ÷ (4x3x2) = 126
Write the Plural! Spanish, help!!
Area of triangle with sides a=8, b= 10, c=7
Answer:
d equal 10 this is the answer
The sum of two numbers is 12 . Their difference is 2 what are two numbers ?
Answer: 7 and 5
Step-by-step explanation:
I HOPE THIS HELPS
STAY SAFE!!!
Answer:
7 and 5
Step-by-step explanation:
7+5=12
7-5=2
Plsss help me
what is 1 1/2 divided by 2/5? Show your work.
Answer:
3.75 or 3 3/4
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.5/.4=3.75
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] × [tex]\frac{5}{2}[/tex]
[tex]\frac{3 times 5 }{2 times 2}[/tex]
[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]
3. Minimize P = 3x – 25y + 38 given the following constraints: y+ -44 144 - 98 < 70 12y - 6x > -36 > -6 The minimum is: at (
Answer:
-118 at (-2, 6)
Step-by-step explanation:
See the attached image of the graph! I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading! The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon. I put big red dots on the corner points. Those points are:
(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)
Plug these coordinates into the expression P = 3x - 25y + 38 to get a value at each of the corner points. Pick out the smallest value.
See the other attached image for those values.
Careful graphing is essential!
Find the value for a,b,c,d
9514 1404 393
Answer:
B. a = 10√3, b = 5√3, c = 15, d = 5
Step-by-step explanation:
When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.
Examining the answer choices, you see that all of them agree that ...
a = 10√3, c = 15
Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.
The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.
__
The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...
d = 10/2 = 5
c+d = 10×2 = 20 ⇒ c = 20 -5 = 15
b = 5√3
a = 10√3
As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)
in a study of 225 adults the average heart rate was 72 beats per minute assume the population of heart rates is known to be approximately normal with a standard deviation of 10 beats per minute what does a margin of error of 1.1 for the 90% confidence interval of the average beats per minute mean
Answer:
There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute
Hope it helps
PLEASE HELP ASAP!!!!
Answer:
yes the answer is 456
Step-by-step explanation:
Find the area of The Polygon. 12 points.
will give * branliest *
Answer:
A = 1/2 × b × h
A = 1/2 × 60 × 30
A = 1/2 x 900
A = 450
--------
A = 1/2 x 6 x 18
A= 1/2 x 54
A = 27
----------
27 + 450 = 477
=477
Step-by-step explanation:
Answer all 4 for a nice brainliest
the image shown at the right contains many triangles describe the different types of triangles found in the image. PLS HELP
Answer:
Step-by-step explanation:
*There is an acute isosceles (don't know if I am spelling any of these correct)
*Right Scalene
*right isosceles
*equilateral
Those are some of the ones that I found
solve all of them for brianiest
Answer:
1.x= 3/-4-2 = x = 11/4
2.1.5x /1.5 = x
6/1.5=4
x=4
I need help asap thanks
Answer:
Square root of 0.028
Step-by-step explanation:
17% = 0.17
1/7 = 0.142
1/8 = 0.125 so it isnt in the inequality
1.7 is outside of the inequality
0.091 is out of the inequality
Square root of 0.028 = 0.167 (So it's in the inequality)
Feel free to mark it as brainliest :D
Renaldo has a spinner with 10 equal sectors with labels from 1 to 10. He spins the spinner once. What is the probability that he gets a number that is a multiple of 3, or a 5?
Answer:
2/5
Step-by-step explanation:
3, 6, 9, 5 is four options
4/10 = 2/5
Please help me answer this
Answer:
answer is
Step-by-step explanation:
which is equivalent to this equation
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the value of the given expression i.e.
3⁷ × 3⁻⁴
We know that, one of the property of exponent is:
[tex]x^{-a}=\dfrac{1}{a}[/tex]
So,
[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]
Hence, the correct option is (b).
A farmer had some chickens and some cows. She counted 40 total heads and 126 total legs. How many cows did she have?
The area of a triangle is 12 square units. The base of the triangle is 4 units. What is the height of the triangle in units?
Answer:
6 =h
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
12 = 1/2 (4) h
12 =2h
Divide each side by 2
12/2 = 2h/2
6 =h
PLEASEEEE HELPPPPPPP
Answer:
the scale factor of RSTU to R'S'T'U' is 1/3
Step-by-step explanation:
look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).
this is 1:3 or 1/3
all other sides follow the same ratio.
the point P is diagonally one square down from S and 3 squares down from S'.
Find one value of x that is a solution to the equation:
(x2 – 6)2 = -3x2 + 18
-21. A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test mm versus mm, using the results of n 10 samples. (a) Find the P-value
Answer:
0.057
Step-by-step explanation:
To obtain the p value, we need to obtain the test statistic :
For a one sample test :
Test statistic is given by :
(xbar - μ) ÷ (σ/√(n))
(185 - 175) ÷ (20/√(10))
10 ÷ 6.3245553
Test statistic = 1.581
Qe used the Z distribution because we are working with the population standard deviation.
Using the Pvalue from test statistic calculator :
Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;
Pvalue = 0.0569
Lana earns $7.95 per hour . How much does she earn in 8 ?
Answer:
$63.6
Step-by-step explanation:
$7.95=1 hr
$7.95×8=$63.6
An opaque bag contains 5 blu marbles, 4 green marbles, and 3 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be red and the second one will be blue?
Answer:
Probability[Choosing red and blue consecutive] = 5/44
Step-by-step explanation:
Given:
Number of blue marble = 5
Number of green marble = 4
Number of red marble = 3
Find:
Probability[Choosing red and blue consecutive]
Computation:
Probability of red marble = Number of red marble / Total marble
Probability of red marble = 3 / [5 + 4 + 3]
Probability of red marble = 3 / 12
Probability of red marble = 1/4
Probability of next blue marble = Number of blue marble / [Total marble - 1]
Probability of next blue marble = 5 / [Total marble - 1]
Probability of next blue marble = 5 / [12 - 1]
Probability of next blue marble = 5 / 11
Probability[Choosing red and blue consecutive] = Probability of red marble x Probability of next blue marble
Probability[Choosing red and blue consecutive] = [1/4][5/11]
Probability[Choosing red and blue consecutive] = 5/44
100 POINTS!!! For which value of b will the quadratic equation x^2-bx+16=0 have exactly two different integer solutions? Select all that apply.
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
If b² - 4ac > 0, then the equation have exactly two different integer solutions.
Given the equation:
x² - bx + 16 = 0, to have exactly two different integer solutions:
(-b)² - 4(1)(16) > 0
b > 8
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
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Answer:
x=8
Step-by-step explanation:
Factorise fully 12x + 18y
Answer:
6(2x + 3y)
Step-by-step explanation:
6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.
The factorize form of the expression 12x + 18y is 6(2x+3y)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 12x + 18y
Twelve times of x plus eighteen times of y
x and y are the variables in the expression
Let us factorize the expression
The Gcd of 12 and 18 is 6
So take 6 as common from the expression
6(2x+3y)
Hence, the factorize form of the expression 12x + 18y is 6(2x+3y)
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31 more than a number is 12
Answer:
-19.
Step-by-step explanation:
-19+31 gets you 12.