Answer:
D. f(x)=900(0.07)^x.1,262
Step-by-step explanation:
You would have to use the P(1+r)^x
P= starting amount
R= rate of change or the percentage changed into a decimal
x= time
So it would be, 900(1+0.07)^5
calculating that you would get 1,262.3. but approximately it's 1,262.
Hope this helped
need to know soon! please help
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
can I get help with this
Answer:
$3,600
Step-by-step explanation:
To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.
Doing so, we get: $270 over 0.075 = $3,600
what three ratios are equivalent to 11: 1
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
mr martin has 36 calculators in a box. The ratio of the ordinary calculators to the scientific 5:1. How many of each calculator does he have
Answer:
180 calculators.
Step-by-step explanation:
She has 180 calculators because if you were to un - simplify 5:1 you would get 180:5 and you would use the first number. So, you have 180 calculators.
Sorry if this is wrong I tried my best.
Please help ASAP!!!??
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]
click to see the question
A and C is the answer
hope you'll learn from your teacher how?
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
Expand and simplify:
4(2x + 1) + 2(2x - 1)
Answer:
12x + 2
Step-by-step explanation:
4 ( 2x + 1 ) ⇔ 8x + 4
2 ( 2x - 1 ) ⇔ 4x - 2
8x + 4 + 4x - 2 = 12x + 2
Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.
9514 1404 393
Answer:
y = 2^x
Step-by-step explanation:
The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.
The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...
y = 2^x
Which of the following best describes the equation below?
y = 8x + 15
A.
neither linear nor nonlinear
B.
both linear and nonlinear
C.
nonlinear
D.
linear
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Answer: D) the significance level of the test
=======================================================
Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
The height of the equilateral triangle is 3√3 cm.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.
The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.
By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).
However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).
Therefore,
The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.
Now,
The height of an equilateral triangle can be found using the formula:
height = (side length / 2) x √3
The side length = 6 cm
So,
height = (6 / 2) x √3
= 3√3 cm
Therefore,
The height of the equilateral triangle is 3√3 cm.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
#SPJ7
Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?
Answer:
40%
Step-by-step explanation:
(850-510)/850 = 340/850 = 2/5 = 40%
Answer: 40% I looked it up
Step-by-step explanation:
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]
Urgent please help..
what is it plz ????????????
What would the exponential growth model be for the given situation?
Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?
Answer:
31 1/2 yards
Step-by-step explanation:
In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.
2.25 * 14 = 31.5 or 31 1/2 yards
What is f(-4) for the function f(x) =-3x-8
Answer:
f(-4) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x - 8
f(-4) is x = -4
Step 2: Evaluate
Substitute in x: f(-4) = -3(-4) - 8Multiply: f(-4) = 12 - 8Subtract: f(-4) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
Myra gets paid at home for doing extra chores. Last week, she did 5 loads of laundry and 8 loads of dishes, and her parents paid her $18. The week before, she finished 4 loads of laundry and 6 loads of dishes, earning a total of $14. How much does Myra earn for completing each type of chore?
Answer: Laundry = $2
Dishes= $1
Step-by-step explanation:
Let the amount paid for doing laundry be x
Let the amount paid for doing dishes be y.
Based on the information in the question, this can be formed in an equation as:
5x + 8y = 18 ..... i
4x + 6y = 14 ...... ii
Multiply equation i by 4
Multiply equation ii by 5
20x + 32y = 72 ...... iii
20x + 30y = 70 ...... iv
Subtract iv from iii
2y = 2
y = 2/2 = 1
Dishes cost $1
Since 5x + 8y = 18
5x + 8(1) = 18
5x = 18 - 8
5x = 10
x = 2
Laundry cost $2
Please Answer! This is urgent!
Step-by-step explanation:
If the perimeters could be equal,
then 4(x + 3) = 2(x + 4 + x + 1).
=> 4x + 12 = 2(2x + 5)
=> 4x + 12 = 4x + 10
However 12 =/= 10 for all real values of x. Hence their perimeters can never be equal.
Choose the definition for the function.
Answer: C
Step-by-step explanation:
BRAIN TWISTER/6TH GRADE MATH
Create (1) mathematical problem or mathematical sentence where the answer is "46". For the variables, use t = 3 and h= 5 or t and h for equations.
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
You have two regular polygons
A & B
. The ratio of the interior angles of
A & B
is
21: 22
. The ratio of the exterior angles is
3:2
. How many sides does each polygon have?
Answer:
First polygon has 16 sides
Second polygon has 24 sides
Step-by-step explanation:
Let the number of sides for first polygon be a and that for the second polygon be b
formula for sum of interior angle is;
180n-360
So for individual interior angle we have;
(180n-360)/n
So for polygon A
(180a-360)/a
For polygon B
(180b-360)/b
Let’s divide both to equate to the ratio
(180a-360/a)/(180b-360)/b) = 21/22
Factor out 180
(a-2)/a * b/b-2 = 21/22
b(a-2)/a(b-2) = 21/22
22b(a-2) = 21a(b-2) •••••• (i)
For the second part
Sum of exterior angle of any polygon is 360
Individual exterior angle is 360/n
for the first polygon;
360/a ;
For the second 360/b
Thus;
b/a = 3/2
2b = 3a ••••••••(ii)
b = 3a/2
11(2b)(a-2) = 21a(b-2)
11(3a)(a-2) = 21a( 3a/2-2)
33a(a-2) = 21a(3a-4)/2
22a(a-2) = 7a(3a-4)
22a^2 - 44a= 21a^2-28a
22a^2-21a^2+28a - 44a = 0
a^2 + 28a - 44a = 0
a^2 -16a = 0
a(a-16) = 0
a = 0 (which cannot be)
or a-16 = 0
a = 16
Recall;
b = 3a/2
b = 3(16)/2
b = 24
Joel has a prepaid phone card that charges $0.50 to connect and $0.50 per minute. He also can use a cell phone that charges $2.50 to connect and $0.25 per minute. In how many minutes will calls made using the phone card and the cell phone cost the same?
Answer:12 minutes
Hope this is right sorry if not <3
I need help again with this last problem.
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[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]