Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.
How much money is in your account after 18 months?
9514 1404 393
Answer:
$3281.79
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.
We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...
A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79
There will be $3281.79 in the account after 18 months.
The manager at a computer recycling plant says it takes workers a minimum of 120 seconds to break down a computer monitor. The exact amount of time depends on the number of screws in the computer that must be removed. It takes 10 seconds to remove each screw, and then an additional 30 seconds to sort the computer parts into their appropriate containers for recycling. Write an inequality that determines the minimum number of screws that are in each computer monitor.
Answer: 120 + 10s + 30
Step-by-step explanation:
120 + 10s + 30
let "s" be the amount of screws
if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³
Answer:
6x
Step-by-step explanation:
because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3
Answer:
It is 6
Step-by-step explanation:
take an example:
[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]
a, b, and c are coefficients of x³, x², and x respectively.
d is a constant.
In △PQR, sinQ=25, sinR=13, and q=6. Find the side length r.
Can someone please help
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
Application of sine rule.According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:
p/sinP = q/sinQ = r/sinR
Given the following parameters
sinQ=2/5, sinR=1/3, and q=6.
6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5
Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
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Which of the following is a basic equation?
A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6
Answer:
A. b + 3 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?
Answer:
5.70
Step-by-step explanation:
Take the price per bag and multiply by the number of bags
.95 * 6 =5.70
Somebody please help me solve this question. If possible with the explanation as well. Calculate
| 1-x^2 | > 1/2
Answer:
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Step-by-step explanation:
|1 - x^2| > 1/2
~Apply absolute value rule
1 - x^2 < -1/2 or 1 - x^2 > 1/2
~Simplify
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Best of Luck!
Jennifer had a headache and was told she was given a name brand medicine but it was really a sugar pill. Three hours later she was asked if she feels better, and she agreed she did.
What does the placebo effect mean in this specific situation?
a.) The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).
b.) Jennifer received the benefit from the treatment since she also took a nap.
c.) The benefit is the fact that Jennifer received the treatment (pill, although only a sugar pill) and it contains another active ingredient.
d.) The benefit is that Jennifer was given the control (pill, although only a sugar pill) and not the active ingredient (cough medicine).
Answer: A
Step-by-step explanation:
There was no active ingredient in the pill but Jennifer thought her headache went away . This is what is required for a placebo effect.
The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).
Jennifer will think that she is taking medicine and will get satisfy after having it. What is placebo effect?The placebo effect is when a person's physical or mental health appears to improve after taking a placebo or dummy treatment.The effects of the active drug or other intervention are compared to the effects of the placebo.Even though a placebo has no active ingredients to cause a positive effect, it can still make a patient feel better.To know more about placebo effect here
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help pls, i dont get this :(
Answer:b. a deposit of $278 followed by a withdrawal of $278
Step-by-step explanation:
use a calculator
The area of this shape is 24 square units. Which of these statements is true about the area ?
Answer:
D.
Step-by-step explanation:
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
Find the root(s) or zero(s) of the function.
Answer:
-1/2 , 3
Step-by-step explanation:
In order to find the roots of the function 2x² - 5x - 3
We have to solve the quadratic equation :
2x² - 5x - 3 = 0
Calculating the discriminant Δ :
Δ = b² - 4ac
= (-5)² - 4(2)(-3)
= 25 + 24
= 49
Then
√Δ = √49 = 7
Determining the Zeros :
[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]
or
[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]
Which statement best describes the relationship between the two figures?
Answer:
The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
Please help me on this homework assignment, 20 points to whoever can help me and give me a good answer. it is asking for the height and the bottom number under the 90 degree angle is 6.
Answer:
h = 3 sqrt(21)
or
h = 13.75
Step-by-step explanation:
The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.
FK = 60/4 = 15 feet.
Now you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = height or = h
c = 15
6^2 + b^2 = 15^2
36 + b^2 = 225
b^2 = 225 - 36
b^2 = 189
sqrt(b^2)= sqrt(189)
b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.
b = 3 * sqrt(3*7)
b = 3 * sqrt(21)
Please help me with number 2?
Answer:
y= 2× +4
Step-by-step explanation:
Slope intercept form y = mx +b
4x -2y = -8
-2y = -4x-8
y = 2x +4
slope = 2x
y intercept = 4
. What is the total cost of 6 books at N8.50k each?
Answer:
51
Step-by-step explanation:
1 book= N8.50
therefore 6 books= N8.50 × 6 = N51
A triangle has an area of 400 square inches. The length of the base of the triangle is 10 inches. What is the height of the triangle?
Answer:
80 in
Step-by-step explanation:
A = 1/2bh
400 = 1/2(10)h
400 = 5h
h = 80
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.
Answer:
-5
Step-by-step explanation:
-15<-6=-15
-15÷3
=-5
Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.
The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Given that:
[tex]-15 < -6[/tex]
Divide both sides by 3
[tex]-15 \div 3< -6 \div 3[/tex]
Evaluate the division
[tex]-5< -2[/tex]
Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
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please solve this question i need help
Answer:
4c/2a 60 degrees 3bf 2ad
Answer:
f=120
b=40
d=140
e=120
c=30
a=30
Simplify -4+8-2 and 8-(-3)-5
Answer:
-2 and 6
Step-by-step explanation:
[tex] - 4 + 8 - 2[/tex]
[tex] - 6 + 8[/tex]
[tex] = - 2[/tex]
○●○●○●○●○●○●○●○●○●○●○●○●○●○
[tex]8 - ( - 3) - 5[/tex]
[tex]8 + 3 - 5[/tex]
[tex] = 6[/tex]
I need help please please help me )):
Answer:
ok bro I will help you don't worry
John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following statements is true?
a. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack increases.
b. The probability that John draws a jack on the first try is 3/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
c. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack decreases.
d. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
Answer:
d
Step-by-step explanation:
It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.
The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
What do we mean by the probability of an event?The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.
If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,
P(A) = n/S.
How do we solve the given question?We are given that John is playing a game with a standard deck of playing cards.
We are said that he wants to try to draw a jack on the first try.
Let the event of drawing a jack be A.
The number of outcomes favorable to the event A (n) = 4 (number of jacks)
The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)
∴ The probability of the event A is given by,
P(A) = n/S = 4/52 = 1/13.
∴ The probability of drawing a jack on the first try is 1/13.
When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.
∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
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An alphabetic character representing a number
Answer:
a variable
Step-by-step explanation:
The answer is a variable because it's a letter that stands in place of a number
Answer:
simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z
If 18 drinks cost £54, how much will 7 drinks cost ?
Answer:
£21
Step-by-step explanation:
Cost of 18 drinks = £54
Cost of 1 drink
= Cost of 18 drinks/18
= £54/18
= £3
Cost of 7 drinks
= Cost of 1 drink × 7
= £3 × 7
= £21
In a party of 60 people, 35 had vanilla ice-cream, 35 had chocolate ice-cream. All the people has at least one ice cream then how many of them had i) both vanilla and chocolate ice-cream ii) only Vanilla ice-cream iii) Only chocolate ice-cream
Step-by-step explanation:
[tex]its \: your \: answer \: I \: hope \: it's \: help \: you \: \\ dear[/tex]
evaluate the expression when x=3
Answer:
3. 15
6. 4
Step-by-step explanation:
Put 3 instead of x
3. 5x
= 5 × 3
= 15
6. 12 ÷ x
= 12 ÷ 3
= 4
Answer:
When X is 3 it will be
5(3)=15
Then for the second one it will be 12/3
The answer is 4
Hope I helped
2n + n/9 = 9
What is n?
[ the equation is in the box I drew]
Answer:
n = 27
Step-by-step explanation:
(2n + 9) / 9 = 9
multiply both sides by 9
3n = 81
/3 /3
-------------
n = 27
Answer:
n = 27
Step-by-step explanation:
(2n + n)÷9 = 9
multiply both side by 9
(2n + n) = 81
3n = 81
Divide both sides by 3
3n/3 = 81/3
n = 27
Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,-2)
Answer: D
Step-by-step explanation:
m = - 7/4
Point (4, -2)
y - - 2= -7/4(x-4)
y + 2 = - 7/4x + 7
y = - 7/4x +7-2
y = - 7/4 x + 5
The equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The line is [tex]y=-\frac{7}{4} x-2[/tex] ------ (1)
The general equation of line in slope intercept form is
[tex]y = mx + c[/tex] ------ (2)
On comparing the equation 1 and 2, we get the slope as
⇒ [tex]m=-\frac{7}{4}[/tex] and
When two lines are parallel, then the slope of the parallel line is equal to the slope of the given line.
So, the slope of the parallel line is [tex]m = -\frac{7}{4}[/tex]
Thus the equation of the parallel line passing through the point (x1,y1) is (4,-2) as,
⇒ [tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-(-2)=-\frac{7}{4} (x-4)[/tex]
⇒ [tex]y+2=-\frac{7}{4} (x-4)[/tex]
⇒ [tex]y=-\frac{7}{4}x+\frac{7}{4} (4)-2[/tex]
⇒ [tex]y=-\frac{7}{4}x+7-2[/tex]
⇒ [tex]y=-\frac{7}{4}x+5[/tex]
Hence we can conclude that the equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.
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What is the answer and method for this equation?
Answer:
X = 15/16
Step-by-step explanation:
2(4-8x) + 6 = -1
8 - 16x + 6 = -1
14 - 16x = -1
-16x = -1 -14
-16x = -15
X = 15/16
Answer:
[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]
x=15/16 is the right answer.