Answer:
The amount Tobie invests in a bank, P = $25
The annual compound interest rate, i = 4%
a. The principal is amount invested in the bank, P = $25
The annual interest rate, i = 4%
b. The function that represents Tobie's account balance, A, after t years is given as follows;
[tex]A(t) = P \cdot (1 + i)^t[/tex]
Where;
A(t) = The amount in the account after t years
P = The principal amount
i = The annual compound interest rate
t = The number of years
c. The values to place in the table are found as follows;
At t = 0, [tex]A(0) = 25 \times(1 + 0.04)^0[/tex] = 25
At t = 10, [tex]A(10) = 25 \times(1 + 0.04)^{10}[/tex] = 37
The given table is presented as follows;
[tex]\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}[/tex]
Step-by-step explanation:
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5)
Answer:
(7, - 5 )
Step-by-step explanation:
A is positioned at (7, - 5 )
what is the quotient in simpilst form? 4 1/2 ÷ 1 1/4
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]
In fraction division, Use KCF method
K - Keep the first fraction
C - Change the ÷ operation to * operation
F - Flip the second fraction
[tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]
Which equation can be represented using the number line?
A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Three-fourths divided by one-eighth = 6
One-eighth divided by three-fourths = 6
6 divided by three-fourths = one-eighth
6 divided by one-eighth = three-fourths
Answer:
A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Step-by-step explanation:
Hope this helps!
Answer:
I'm pretty sure its 6 divided by 1/8=3/4 (D)
Step-by-step explanation:
find x, plzz helpp only have an hour to do this
Answer:
E. None of these
Step-by-step explanation:
Using the angle 43, we see that we will use Cos to find x.
This is because the sides are the adjacent and the hypotenuse
Cos (43) = 14/x
Multiply both sides by x
X (cos (43)) = 14
Then divide both sides by (cos(43))
x = 14 / cos(43)
Plug it into the calculator you get:
x = 25.22
Since this is not an answer choice, the answer is E. None of these
What is the x-coordinate of the red point?
A. 3
B. 2
C. -2
D. -3
A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 666 milliliters of the chemical, which is consumed by the reaction at a varying rate that is no more than 13 milliliters per minute. Partway through the experiment, the chemist measures the amount of chemical remaining. If there are 562 milliliters of the chemical left, what is the smallest number of minutes that could have passed?
Answer:
8 Minutes
Step-by-step explanation:
since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.
666-562 = 104
Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.
104 / 13 = 8
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
? =30
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 25/50
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 ( 1/2)
? =30
Im not exactly understanding this question. Can someone please help me and possibly explain this to me?
Answer:
From the graph, when x=-6, y=1
so, your answer is A) f(x)=∛(x-6)+1
OAmalOHopeO
1/(x+1) + 1/a(x+1) find the lcm
Answer:
See below.
Step-by-step explanation:
1/(x + 1) consists of 1 factor, 1/(x + 1)
1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)
The LCM is 1/[a(x + 1)]
The LCD is a(x + 1)
How do you figure this out?
He estado dos días de viaje, gastandome el primer día 1/3 de dinero que tenia y el segundo 1/5 ¿Qué parte del dinero que tenia me ha sobrado?
Help this is due in 10 mins
Answer:
Only A is true
for sure
....................
A polynomial p is graphed. What could be the equation of p? Choose 1 answer:
A. p(x) = x( x + 2)(2x + 7)
B. p(x) = x(x - 2)(2x - 7)
C. p(x) = x(2x) (7/2x)
D. p(x) = x(-2x)(- 7/2x)
Answer:
[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]
Step-by-step explanation:
The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.
Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]
Which expression correctly represents "six more than the a quotient of three and a number, decreased by eight"'
Answer:[tex] (\frac{3}{x} + 6) - 8[/tex]
Answer:
[tex]\frac{3}{x-8} +6[/tex]
Step-by-step explanation:
six more than..... (+6)
the a quotient.... (÷)
of three ..... (3)
and ....(separator between numerator and denominator)
a number, decreased by eight... (x-8)
What is the value of x?
750
37°
Mercedes tiene una habilidad increíble al encontrar el número que falta; ella sólo suma y ya tiene la respuesta correcta, ¿Cuál es el valor de x? 32 10 41 22 10 33 53 16 62 25 x 25
El ejercicio completo es el siguiente:
Mercedes tiene una habilidad increíble al encontrar el número que falta; ella solo suma y ya tiene la respuesta correcta.
¿Cuál es el valor de x?
32 10 41
22 10 33
53 16 62
25 (x) 25
A) 10
B) 11
C) 12
D) 13
E) 14
Answer:
La respuesta correcta es E: 14
Step-by-step explanation:
El ejercicio nos da una pista importante: solo sumar, así que al mirar la ubicación de la variable x podemos deducir que los valores del centro son el resultado de una suma, ahora para saber si es cierto ,debemos hacer la prueba,entonces empezamos a sumar los dígitos por separado de los valores dados ;
32 10 41 = 3+2+4+1 esto es igual a 10 el valor del centro
22 10 33= 2+2+3+3 esto es igual a 10 el valor del centro
53 16 62 = 5+3+6+2 esto es igual a 16 el valor del centro
Por lo tanto para hallar el valor de x debemos hacer lo mismo:
25 x 25 = 2+5+2+5 esto es igual 14
Entonces nos queda : 25 14 25= 2+5+2+5 igual a 14
A regular polygon has 10 sides. Find the sum of interior angle
Answer:
Step-by-step explanation:
trewdsffffffffffffsdf
On circle O below, SE is a diameter. What is the measure of angle ISE?
Answer:
Angle LIS is congruent to angle DIE making both of them 61°, angle LID and angle SIE are congruent as well. When you add LIS, DIE, LID, and SIE all add to 360°. So 61+61 equals 122. 360-122 is 238. You divide 238 by 2 to get 119. That will be the measure of angle SIE. A triangle is a total of 180° so add up the angles 27° + 119° to get 146°. Subtract that from 180° to get 34°.
34° is the measure of ISE
Hope this helps!
Step-by-step explanation:
If 3x−y=12, what is the value of
8x
--
2y
Answer:
wait few minutes i will try
How to solve this truth table ( p-->q) v q
p q
T T
T F
F T
F F
Without using a truth table:
(p ⇒ q) ∨ q ⇔ (¬p ∨ q) ∨ q ⇔ ¬p ∨ q ⇔ p ⇒ q
With a table:
p … q … p ⇒ q … (p ⇒ q) ∨ q
T … T … T … T
T … F … F … F
F … T … T … T
F … F … T … T
Hello again guys I need help with the highest common factor of 12x³yz⁵;16x⁴y³z²
Answer:
hello,
Step-by-step explanation:
a=12*x³yz⁵=4*3*x³yz⁵
b=16*x⁴y³z²=4*4*x⁴*y³*z²
hcf(a,b)=4*x³*y*z²=4x³yz²
The area of a square, a, depends on its side length, s.
The
is a function of
The function
notation is
_(_).
Answer:
Let area be a and side be s :
[tex]{ \tt{a \: \alpha \: s²}} \\ a = ks²[/tex]
k is a constant, k=1
Porfa es para un examen xD
Answer: -13
Step-by-step explanation:
M(3) → x = 3M(2) → x = 2[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]
You are an avid coin collector. You decide to start keeping better track of your coin collection:after 15 days you count and find out you have 155 coins. After 22 days,you have 218 coins. Write an equation in point-slope form
9514 1404 393
Answer:
y - 155 = 9(x -15)
Step-by-step explanation:
The given points are ...
(days, coins) = (15, 155) and (22, 218)
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1) = (218 -155)/(22 -15) = 63/7 = 9
The point-slope form is for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Here, we have m=9 and (h, k) = (15, 155), so the equation can be written ...
y - 155 = 9(x -15)
Which inequality is true?
Answer:
[tex]\boxed{\sf Option \ C \ is \ correct .}[/tex]
Step-by-step explanation:
We need to tell which of the given inequality is true . The given inequalities are ,
[tex]\sf A)\pi + 8 <11\\\\\sf B) \dfrac{\pi}{8} > 2 \\\\\sf C) 3\pi > 9 \\\\\sf D) 2\pi - 1 < 5 [/tex]
Let's check the options one by one .
Option A :-
[tex]\sf\longrightarrow \pi + 8 < 11[/tex]
Subtract 8 to both sides ,
[tex]\sf\longrightarrow \pi < 11 - 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow \pi < 3[/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .
______________________________________
Option B :-
[tex]\sf\longrightarrow \dfrac{\pi}{2} > 2 [/tex]
Multiply both sides by 2 ,
[tex]\sf\longrightarrow \pi > 4 [/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .
______________________________________
Option C :-
[tex]\sf\longrightarrow 3 \pi > 9[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \pi < 9/3[/tex]
Simplify ,
[tex]\sf\longrightarrow \pi > 3 [/tex]
We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .
Option C is correct .
Evaluate function from their graph
This is because the point (0,5) is shown on the graph. This is the point on the y axis.
We can say that h(x) = 5 when x = 0.
Answer:
5
Step-by-step explanation:
The fellow who expalined it before before me expalined it correctly, so the answer should be 5.
PLS HELP 10 POINTS!!!
Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2
Answer:
[tex] - 12xy {}^{2} [/tex]
Step-by-step explanation:
A coefficient is a rational number in front of multiple consecutive terms.
which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23
Answer:
[tex]18-\sqrt{-25}[/tex]
[tex]\sqrt{-25} =5i[/tex]
[tex]=18-5i[/tex]
OAmalOHopeO
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
Please help I don’t understand how to solve this !
Answer:
x = 30
Step-by-step explanation:
x + 2x + 3x = 180
6x = 180
6 6
x = 30
guys, please help its graph-related. please i will dieeee
(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.
(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.
A is the point (-4, 2), and B is the point (2, -4). So the length of AB is
√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72
A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is
√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72
Then the dilation factor is
(2√72) / √72 = 2
As for dying, don't worry about it. It happens to everyone.
