Answer:
Her grant in four years time will be of $13108.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial value and r is the growth rate, as a decimal.
A student get a grant of $10000 a year assuming her grant is increased by 7% each year
This means that [tex]A(0) = 10000, r = 0.07[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10000(1+0.07)^t[/tex]
[tex]A(t) = 10000(1.07)^t[/tex]
What will her grant be in four years time?
This is A(4). So
[tex]A(t) = 10000(1.07)^t[/tex]
[tex]A(4) = 10000(1.07)^4 = 13108[/tex]
Her grant in four years time will be of $13108.
Triangle PQR has vertices P(3, 5), Q(-2, 6) and R(8, -1). Give the translation rule (x, y) → (x + 4, y – 5). What will P’ (__, __) be
=======================================================
Explanation:
The rule [tex](x,y) \to (x+4, y-5)[/tex] means we add 4 to the x coordinate and subtract 5 from the y coordinate.
The point (3,5) becomes (3+4, 5-5) = (7,0)
This shifts the point 4 units to the right and 5 units down.
Find the value of x in the figure
Answer:
x = 100
Step-by-step explanation:
180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100
123 = x+ 23
-23 + 123 = x
100 = x
x = 100
sorry, i'm really bad at explaining
180 degree angles when added
180-57 (for known angle)= 123
x+23=123<- we need to take off the all known angles to get x
123-123=100
x=100 is the answer
what is the area of the irregular polygon shown below?
this contain two triangle and one rectangle
therefore total area = 2×area of triangle + area of rectangle
then refer the attachment
Find the value of x.
Answer:
Hello! answer: 84
Step-by-step explanation:
This is 360 degrees therefore 84 is the answer
84 + 84 + 96 + 96 = 360 degrees
Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C prime D prime is rotated 270 degrees about point B.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
a translation down and to the right
a translation up and to the right
a 270° rotation about point B'
a 180° rotation about point B'
Answer:
a 270° rotation about point B'
Answer:
C is correct 270°
Step-by-step explanation:
yuh
in the parallelogram below x=?
Answer:
20
Step-by-step explanation:
In a parallelogram diagonals bisect each other.
[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]
how to convert 15 cm to mm
convert 122f to Celsius
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
why is the growth factor 0.9?
Answer:
Actual growth of population - Birth - Death + In migration - Out Migration. ...
If f(x) is a third degree polynomial function, how many distinct imaginary roots are possible?
Answer:
1, 2, or 3
Step-by-step explanation:
if it's third degree then there must me 1 to 3 roots
hope you find this helpful :)
Answer: 0 or 2
Step-by-step explanation:
took test on edge2020
What is the probability of rolling a number greater than or equal to 8 with the
sum of two dice, given that at least one of the dice must show a 6?
How many liters is 350 milliliters?
A. 3500 L
B. 3.50 L
C. 0.350 L
D. 0.035 L
Answer: C
Step-by-step explanation:
Step-by-step explanation:
1 L equals to 1000 mL
so 350 mL equals to 0.35L
The answer is C
what is the ordered pair for the equation -7x+3y=2
Answer:
Step-by-step explanation:
A machine cuts dry wall screws with specifications such that the length of each screw is 1.25 inches with an allowable margin of error of 0.02 inches. Use this information to complete each statement.
Answer:
[tex](a)\ x = 1.25 \± 0.02[/tex]
[tex](b)[/tex]
[tex]Minimum = 1.23in[/tex]
[tex]Maximum = 1.27in[/tex]
Step-by-step explanation:
Given
[tex]L = 1.25in[/tex] --- Length
[tex]E=0.02in[/tex] -- Margin of error
Solving (a): The equation of the length
This is calculated as:
[tex]x = L \± E[/tex]
So, we have:
[tex]x = 1.25 \± 0.02[/tex]
Solving (b): The range of value of x
In (a), we have:
[tex]x = 1.25 \± 0.02[/tex]
Split:
[tex]x = 1.25 - 0.02[/tex] [tex]x = 1.25 + 0.02[/tex]
Solve for x
[tex]x = 1.23[/tex] [tex]x = 1.27[/tex]
So, we have:
[tex]Minimum = 1.23in[/tex]
[tex]Maximum = 1.27in[/tex]
Choose the expression that represents “three less than seven times a number
Answer: 3-7x
Step-by-step explanation: x represents the "a number" portion since it is a variable
Consider the following time series. t 1 2 3 4 5 yt 6 10 8 13 15
(a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data?
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = 4.1 Slope, b1 = 2.1 MSE = ????
(c) What is the forecast for t = 6? If required, round your answer to one decimal place. 16.7 I know how to do it all but the MSE.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
t __1 2 3 4 5
yt_ 6 10 8 13 15
Using technology to produce a linear model :
The linear model obtained shows a positive linear pattern exist for the time series data :
The parameters for the line that minimizes MSE for the then series is :
y = 2.1t + 4.1
Where, slope = 2.1 ; intercept = 4.1
The mean squared error :
Sum of squared estimate of error = 9.1
Mean squared error = √9.1
Mean squared error = 3.02
Forecast for t = 6
y = 2.1t + 4.1
y = 2.1*6 + 4.1
y = 12.6 + 4.1
y = 16.7
What is the product?
(-282 +8)(502-65)
Answer:
option c is the answer for pic
and for question the answer is
(-274)*(437)
-119738
Answer:
the first one
Step-by-step explanation:
Select Yes or No to state whether each data set is likely to be normally distributed
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
Urgent
Please help!
Factorise
Answer:
a.
x²+3x-4
doing middle term factorization
x²+(4-1)x-4
x²+4x-x-4
x(x+4)-1(x+4)
( x+4)(x-1)
b.
x²-2x-3
x²-3x-x-3
x(x-3)-1(x-3)
(x-3)(x-1)
c.
x²+2x-8
x²+4x-2x-8
x(x+4)-2(x+4)
(x+4)(x-2)
Please help me figure out which is the correct answer, i have attached the picture for you to look at. Thanks so much!
Answer:
The answer is B ;)
Step-by-step explanation:
4x+5 is greater than or equal to 13
subtract 5 from each side to get 4x is greater than or equal to 8
then divide both sides by 2 to get
x is greater than or equal to 2
Del siguiente conjunto de datos calcula lo que se te pide: 3,6,8,4,3,2,6,7,1,5,4,8,4
¿cual es la media? del problema
cual es la moda?
Answer:
Moda = 4
Media = 4
Step-by-step explanation:
primero tienes que ordenarlos
1,2,3,3,4,4,4,5,6,6,7,8,8
La moda es el elemento que más se repite entonces es el 4
La media es el elemento que esta al medio, en este caso son 13 números
13/2 = 6.5, el elemento que esta en la séptima posición 7 es la media
media= 4
Find the values of x,y and z
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
Is the relation exponential or linear or neither (15,10)(16,20)(17,40)(18,70)
9514 1404 393
Answer:
neither
Step-by-step explanation:
The x-values have a common difference of 1. The y-values have first differences of 10, 20, 30. The second differences are constant at 10, indicating a quadratic relation.
The relation is neither exponential nor linear.
_____
y = 5x^2 -145x +1060
Calculator
What is M
Put your answer in the box
°
Answer:
2
Step-by-step explanation:
9m + 25m + 22 = 90
34m = 90 - 22
34m = 68
m = 68 / 34
m = 2
Answer:
m = 2
Step-by-step explanation:
GLI forms a 90 degree angle
Set your formula up as
90 = 9m + 25m + 22
90 - 22 = 34m
68 = 34m
68/34 = m
2 = m
rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
Answer:
area = 2.3 x 2.8
area is 6.44 meters
Step-by-step explanation:
area is length multiplied by width
Help and explain please and thankyouuu’!!!!!
here,
f(x)=x-4
then, f(-3.2)=(-3.2)-4
[ replace the value of x in the equation by -3.2]
therefore,f(-3.2)=-7.2 answer....
HOPE THIS HELPS YOU.HAVE A NICE DAY/NIGHT.....
9514 1404 393
Answer:
(a) f(-3.2) = -7
Step-by-step explanation:
The ceiling function returns the smallest integer greater than or equal to its argument value. For an argument of -3.2, the next larger integer is -3.
[tex]f(-3.2)=\lceil -3.2\rceil-4=-3-4=\boxed{-7}[/tex]
find the area for brainlest
Answer:
A = 30 units²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 12 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 12 × 5 = 6 × 5 = 30 units²
Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
9514 1404 393
Answer:
-5 or 13
Step-by-step explanation:
A point that is 9 units from 4 on the number line ca be located at ...
4 - 9 = -5
4 + 9 = 13
F could be either of -5, 13.
Given Tan A= 2/3 and that angle A is in quadrant 1, find the exact value of sec A in simplest radical form using a rational denominator.
Answer:
[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]
Step-by-step explanation:
Given
[tex]\tan A = 2/3[/tex]
Required
[tex]\sec\ A[/tex]
First, we have:
[tex]\tan A = \frac{x}{y}[/tex]
Where
[tex]x \to oppo site\\[/tex]
[tex]y \to adja cent[/tex]
[tex]z \to hypotenuse[/tex]
So:
[tex]\tan A = \frac{x}{y} =\frac{2}{3}[/tex]
By comparison:
[tex]x = 2; y =3[/tex]
Using Pythagoras, we have:
[tex]z^2 = x^2 +y^2[/tex]
[tex]z^2 = 2^2 +3^2[/tex]
[tex]z^2 = 13[/tex]
[tex]z = \sqrt{13[/tex]
[tex]\sec A =\frac{z}{y}[/tex]
[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]
Someone help me please
9514 1404 393
Answer:
$448
Step-by-step explanation:
The given formula will tell you the amount of interest earned:
I = Prt
I = $400·0.02·6 = $48
The account balance will be the sum of the original deposit and the interest it earns:
$400 +48 = $448 . . . . balance after 6 years