You have $2,000 to invest and want it to grow to $3,000 in two years. What interest rate would you need to find to make this possible?
Answer:
25%
Step-by-step explanation:
If x = 4 and y = 7, evaluate the following expression:
20 – (3y – 4x)
Answer:
15
Step-by-step explanation:
x=4, y=7
20-(3y-4x) Substitute the values for the variables:
20-(3*7-4*4) Multiply:
20-(21-16) Parentheses first:
20-5
=15
Hope this helps :)
The solution for the expression 20 – (3y – 4x) will be 15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the values are x = 4 and y = 7, the expression will be solved as below,
E = 20-(3y-4x)
Substitute the values for the variables:
E = 20-(3 x 7-4 x 4) Multiply:
E = 20-(21-16) Parentheses first:-
E = 20-5
E = 15
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A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is H. : = 0 and the alternative hypothesis is H. : < 0.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
Complete Question
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is [tex]H_o. : \mu_d= 0[/tex] and the alternative hypothesis is [tex]H. : \mu_d < 0[/tex]
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
Answer:
The correct option is a and c
Step-by-step explanation:
From the question we are told that
The sample size is n = 8
The test statistics is t = -3.935
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]p-value = 0.01[/tex]
From the data given we see that the [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject null hypothesis
The conclusion
There is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
marcos is making three tile pictures.
Answer:
600 tiles
Step-by-step explanation:
310 green tiles and red 310-50=290so 310 plus 290 =600
Can someone please help I really need help?!!!!
Which equation correctly applies the distributive property?
A.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
B.(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
C.50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
D.−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
I think is D
PLEASE MARK ME AS BRAINLIEST
the baker's at healthy Breakers can make 210 Bagels in 5 hours how many bagels can they make in 19 hours
Answer:
he can make 798
Step-by-step explanation:
your welcome
Sam spends $1200 on his education, which is of his salary. Hiis salary is
$4500.
Answer:
3200
Step-by-step explanation:
Answer:
3300
Step-by-step explanation:
The sum of any number and its ______
equals 0.
Answer:
The sum of the real number (a) and its opposite real number (-a) is zero
Step-by-step explanation:
5 + (-5) = 0 and (-5) + 5 = 0
or, 5 - 5 = 0 and -5 + 5 = 0
Here 5 is real number and (-5) is it's opposite real number. Sum of 5 and (-5) is zero.
QUICKL PLZZZ Don’t worry about the other just answer 8 and 9
Answer:
i hate math
Step-by-step explanation:
The temperature at 9 am was 8 degrees below zero. The temperature increased every 3 hours, for the next 4 hours. What was the temperature after those 4 hours?
Answer:
20 degrees hope this helped
Step-by-step explanation:
HELP ME PLS One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Wich table allows more square arrangments when all mini cupcakes and mini cookies are displayed? Explain.
Answer: step by step equations
Step-by-step explanation:
PLEASE HELP
i DoNT get the mathhhh
You'll have three copies of the red "-x" rectangles to represent -3x
Next, you'll need five copies of the blue squares with the label "1". This represents 5 since 1*5 = 5.
Lastly, you'll need one copy of the purple rectangle that has "y" on it.
All of this forms the expression -3x+5+y
All of these figures will be above the dashed line to be in the positive region.
The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?
Answer:
80%
Step-by-step explanation:
A percentage can also be represented as a fraction with the denominator of 100. If 80 out of 100 (Fraction Form: [tex]\frac{80}{100}[/tex]), then 80% of the art club members voted.
explain determination ......??
Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.
Synonyms:
resolution, resolve, resoluteness, character.
Antonyms:
weak-mindedness, pusillanimity.
15=5k-13 whats the letter
Answer:
k= 5.6
Step-by-step explanation:
You have a box that is 2 x 3 x 5 how many cubes does it hold? How do you know!
A company that manufactures computer chips expects 10 out of every 100 made to be defective. In a shipment of 6400 chips, how many are expected to be defective?
In a shipment of 6400 chips, _____ are expected to be defective.
Answer:
640 are expected to be defective.
Step-by-step explanation:
Multiply 6400 by .10 which equals 640.
can someone help me with this and explain the steps
Answer:
x intercepts is (-81 ,0)
y intercepts is (0,9),(0,-9)
Step-by-step explanation:
How to solve trigonometric functions such as
sin 2x sin x + cos x= 0
Use the double angle identity:
sin(2x) = 2 sin(x) cos(x)
Now rewrite
sin(2x) sin(x) + cos(x) = 0
as
2 sin²(x) cos(x) + cos(x) = 0
Factor out cos(x) :
cos(x) (2 sin²(x) + 1) = 0
Consider the two cases,
cos(x) = 0 OR 2 sin²(x) + 1 = 0
Solve for cos(x) and sin²(x) :
cos(x) = 0 OR sin²(x) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(x) = 0
Cosine is zero for odd multiples of π/2, so we have
x = (2n + 1) π/2
where n is any integer.
Hi, I was wondering why (-1)(-1)(-1)(-2) equals 2 but (-2)(-4)(-3) equals -24. Thank you in advance.
Answer:
-1*-1= 2;2*-1=-1;-1*-2=2
Step-by-step explanation:
negative times neg equals positive
Because when you add negatives together it goes more down because you are adding negatives together. if you add 2 negatives it decreases in value but when you subtract 2 negatives from each other the number increases.
Zane has a bowl of raspberries and blackberries. There are 2 more raspberries than
blackberries, and there are 18 berries in all. How many blackberries does Zane have?
blackberries
Answer:
8 raspberries
Step-by-step explanation:
Long division please show work 16/384 look at picture! i’ll give brainliest also
Answer:
24
Step-by-step explanation:
384 divided by 16 will give you 24. Theres no way to show work properly so just trust me
If -2a > 6, then _____.
a > -3
a > 3
a < 3
a < -3
Answer:
a<-3
bc -3(-2)=6
so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6
Step-by-step explanation:
How to find the y axis on a graph
The solution to 5(x-2)-6=24 is which of the following? Show the steps in your solution process.
Answer:
x=8
Step-by-step explanation:
distributive property
5x-10-6=24
adding -10 and -6 which is -16
5x-16=24
add 16 on both sides to cancel the -16
5x=40
than divide 5 to cancel out the 5
x=8
is 4(x-8)=4x-8 One solution no solution or infinite solutions explain your answer
Answer:
No solution
Step-by-step explanation:
4(x-8) = 4x-8
Distribute.
4x-32 = 4x-8
Subtract 4x first and get rid of the variable (x).
4x-32 = 4x-8
-4x -4x
-32 = -8
-32 does not equal -8, so there is no solution!
Have an amazing day!! c:
rewrite the equation by completing the square -2x=x^2 - 6
From car models to colors
Answer:
green, beige, orange, gold, yellow, and purple were the rarest exterior paint colors.
plz mark brainliest if helpful
Does anyone know the answer???
Answer:
AS
Step-by-step explanation:
Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87
Answer:
initial value opposite value absolute value
15 -15 |15|
-93 93 |93|
56 -56 |56|
-87 87 |87|
Step-by-step explanation: