Answer:
117.33333 feet per second
Step-by-step explanation:
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
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the cross sectional area of this circular duct is 226.865 square inches.
what would be the diameter of the duct
Answer:
D. 17
Step-by-step explanation:
No-
The diameter of a $1 coin is 26.5 mm. Find the area of one side of the coin. Round to the nearest hundredth.
The area of one side of the coin is 41.605 mm².
Given that, the diameter of a $1 coin is 26.5 mm.
We need to find the area of one side of the coin.
What is the area of a circle formula?The area of a circle formula is A=πr².
Now, radius=26.5/2=13.25 mm.
Area of a coin=3.14×13.25=41.605 mm².
Therefore, the area of one side of the coin is 41.605 mm².
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Find the area of the shaded region.
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
What is the mean of the set of data?
6, 7, 10, 12, 12 ,13
answer choices:
6
10
7
11
Answer:
mean = 10
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{6+7+10+12+12+13}{6}[/tex]
= [tex]\frac{60}{6}[/tex]
= 10
Refer to picture
Need help on Q.8
Answer:
Rajan = 436.36 rupees and Kamal = 363.63 rupees
Step-by-step explanation:
Total ratio = 11/30
Amount to be shared = 800
Rajan = Individual ratio / Total ratio x the total amount to be shared
1/5 ÷11/30 × 800 = 436.36
Kamal = 1/6 ÷ 11/30 × 800 = 363.63
If the range of the function f(x) =5x + 8 is 18, find its domain.
Step-by-step explanation:
f(X) = 5x+18= 18
so,
18 = 5x+18
18-18 = 5x
X= 0
so domain of the function is 0
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial
function.
f(x) = 2^(5x-6)
h(x) = 3x^5 - 2x^3 - 4x + 7
x=4
x=7
x = 6
x=5
Answer: ¿Hablas español porque no entiendo esto? Si lo haces, ¿puedes decirme en español?
Step-by-step explanation:
Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.
Have fun all !!! This is my trash account. You all can have my points.
Answer:
Step-by-step explanation:
OK
Answer:
rshjgdlf
FGshjfgsfds
Step-by-step explanation:
GIMME'
A jazz band wants to sell $6,558 worth of tickets. If each ticket costs $6, how many tickets will the band have to sell to meet its goal?
Answer:
1093 tickets
Step-by-step explanation:
Take the total amount and divide by the amount per ticket to determine the number of tickets
6558/6
1093 tickets
Answer:
The band have to sell 1093 Ticket to meet its goal
Step-by-step explanation:
Total cost = $6,558
Per Ticket cost =$6
formula:
No of Tickets = Total cost of Ticket ÷ Per Ticket Cost
= 6558 ÷ 6
No of Tickets = 1093
Check:
Total Cost = No of Ticket × Per ticket cost
= 1093 × 6
Total Cost =$6558
You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use
Answer and explanation:
Assume Almond is a
Cashew is c
Peanuts is p
The system of equations satisfies this thus:
a+c+p= 10
7a+5c+2p= $20
The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.
find the common difference
9514 1404 393
Answer:
(a) 1/12
Step-by-step explanation:
The difference of adjacent terms is ...
1/4 -1/6 = 3/12 -2/12 = 1/12
Someone help plsssss
What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x = -9 and x = 1
O x = -5 and x = 5
O x = -4 and x = 4
O x = -1 and x = 9
Answer:
4th option, x = -1 and x = 9
Step-by-step explanation:
3(x-4)²=75
or, (x-4)²=25
or, x²-8x+16-25=0
or, x²-8x-9=0
or, x²-9x+x-9=0
or, x(x-9)+1(x-9)=0
or, (x-9)(x+1)=0
so, x-9=0 or, x=9
and x+1=0 or, x=-1
The two solutions of the quadratic equation are:
x = -1 and x = 9
How to solve the quadratic equation?The quadratic equation is:
3*(x - 4)^2 = 75
We can expand it as:
3*x^2 - 3*2*4*x + 3*16 = 75
3x^2 - 24x -27 = 0
Now, using Bhaskara's formula we get:
[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]
So the two solutions are:
x = (24 + 30)/6 = 9
x = (24 - 30)/6 = -1
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Someone help pleasee
Answer:
-80
Step-by-step explanation:
We can write the quadratic as
ax^2 + bx+c
4x^2 +8x+9
a=4 b = 8 c=9
The discriminant is
b^2 -4ac
8^2 - 4(4)(9)
64 - 144
-80
Answer:
-80
Step-by-step explanation:
The discriminant is the value under the radical in the quadratic formula. The part of the quadratic formula that is under the radical is [tex]\sqrt{b^2-4ac}[/tex]. So, plug in the needed values and solve for what is under the radical. The b-value is 8; this squared is 64. Then, plug in a and c, 4 and 9. Then multiply these by 4, 4*4*9=144. Finally subtract, 64-144=-80.
find the next three sequence of 1,3, 9, 27,
Answer: 81, 243, 729
Step-by-step explanation:
STEP ONE: Find a pattern in the sequence
3 ÷ 1 = 3
9 ÷ 3 = 3
27 ÷ 9 = 3
As we can see from the given sequence, each number multiplies 3 to get the next term.
STEP TWO: Find the next three terms
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
Hope this helps!! :)
Please let me know if you have any questions
Tính : 2020^3-1/2020+2021
Answer:
2020³-1/4041
Step-by-step explanation:
simplify
(-3y)*(-7y)
Answer:
answer of this question is
21y^2
what's 14 1/4 in lb into ounces
Answer:
228
Step-by-step explanation:
We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.
14 1/4 or 14.25
14.25 * 16
==> 228
Meaning there are 228 ounces in 14 1/4 pounds
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
7.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. exponential; y = 3x – 1
B. linear; y = x – 1
C. quadratic; y = x2 – 1
D. linear; y = –x – 1
Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
...............................................................................................................................................
Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)
3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.
Answer:
98 ppl voted for Gordan
Step-by-step explanation:
a) 35% of 280=98
b) 15% of 280=42
40% of 280=112
10% of 280=28
Add 98, 42, 112, and 28 and you get 280! Hope this helps :)
Find the commission on a sale of $600 with a 5% commission rate.
Answer: $30
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
10% of 600 = 60
5% of 600 = 30
I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!
6
5 (0,4)
(5, 4)
x
3
(3, 2)
2
(-2,0) 1
-5-4-3-2 JO1
2 3
-2 (0-2)
-3
-4
-5
4
5
- 7
-8
From the graph of the function, determine the domain and the range.
Step-by-step explanation:
according to the graph,
the domain is : -2 ≤ x < 0 or 0 < x ≤ 5
=> [-2, 0) U (0, 5]
the range is : -2< y ≤ 0 or 2≤ y ≤ 4
=> (-2, 0] U [2, 4]
the answer is option 1
The domain and range of the function are,
Domain = [-2, 0) U (0, 5]
Range = (-2, 0] U [2, 4]
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the function is shown in figure.
Now, According to the graph, We get;
The domain is;
-2 ≤ x < 0
Or, 0 < x ≤ 5
Domain = [-2, 0) U (0, 5]
And, the range is;
-2< y ≤ 0
Or , 2≤ y ≤ 4
Range = (-2, 0] U [2, 4]
Thus, The domain and range of the function are,
Domain = [-2, 0) U (0, 5]
Range = (-2, 0] U [2, 4]
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When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?
Answer:
3.18%
2 between 89 91
Step-by-step explanation:
*Probability-Between 3.18%
Z1=0.04 Z2=0.12
x-1 89
x-2 (not required) 91
µ 88
σ 25
REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe
1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A
2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.
Answer:
1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
2. La ecuación de la recta es, y = -5·x - 6
Step-by-step explanation:
1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)
Por tanto, la ecuación vectorial de la línea es;
[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
Donde;
t = Cualquier número
2. El punto por el que pasa la recta es P (-2; 4)
La pendiente de la recta, m = -5
Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;
y - 4 = (-5) · (x - (-2)) = -5 · x - 10
∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6
La ecuación de la recta es, y = -5·x - 6
Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution?
Answer:
B. on edge 2021
Step-by-step explanation:
y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4
Answer:
It's B :))
Step-by-step explanation:
