P = 312.50
t = 9
r = ?
P(t) = P(9) = 1250
P(t) = Pe^(rt)
P(t) = Pe^(rt)
1250 = (312.50)e^(9r)
1250/312.5 = e^(9r)
4 = e^(9r)
ln(4) = ln(e^(9r))
ln(4) = (9r)ln(e)
[cancel out the e with ln on right side]
ln(4) = (9r)
ln(4) /9 = r
0.15 = r
ANSWER: 0.15 is the interest rateThe compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.
What is savings account?A savings account is a type of account where an individual can save money for future purposes.
Here we havethe following information;
Principal = $312.50
Time = 9 years
Amount = $1250.
rate = ?
Using the formula;
A = P(1 + r/n)^nt
Where n =1
1250 = 312.50( 1 + r)^9
1250/312.50 = ( 1 + r)^9
4 = ( 1 + r)^9
1.16 = 1 + r
r = 1.16 -1
r = 0.16 or 16%
Learn more about compound interest: https://brainly.com/question/9904853?
For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2
Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]
Step-by-step explanation:
Given
Quadratic Equation is [tex]x^2-x-(2a+2)[/tex]
[tex]-4a[/tex] is the solution of the given equation
[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]
Plz help ASAP I will mark u branliest
Answer:
1. Three 1. Two
2. Four 2. Five
Step-by-step explanation:
i need help i need help asap
Answer:
2(x-3)^2
Step-by-step explanation: simplify second expression and combine
Which list orders the numbers from least to greatest
Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?
What is the measure of each side? NEED HELP ASAP
Answer:
Each side is 5 units long
Step-by-step explanation:
Since the opposite angles are equal then x + 2 = 3x - 4
So solve for x: so 4+2 = 3x - x
6 = 2x
3 = x
So one side is x + 2 = 3 + 2 = 5
The other side is 3x - 4 = 3(3) - 4 = 9-4 = 5
Help me please!!! I’ll mark brainliest!!
Answer:
all the answers are c on that test my teacher did that same exact test
Step-by-step explanation:
mark brainliest!
Identify the set as finite or infinite
{1 1/4, 1/16, 1/64,,,}
Answer:
??????
Step-by-step explanation:
What that does not make sence at all
plz answer
correctly it is worth a lot of points
Answer:
75%
Step-by-step explanation:
A bottel holds z ounces of water a second bottel holds 16 onces witch is 8/5 times as much warter how much does the frist bottel hold
Answer:
The first bottle holds 10 ounces of water.
Step-by-step explanation:
The bottle holds z ounces.
The second bottle holds 16 ounces, which is 8/5 times the first, which is z.
How much water does the first bottle holds?
[tex]\frac{8z}{5} = 16[/tex]
[tex]8z = 16*5[/tex]
[tex]8z = 80[/tex]
[tex]z = \frac{80}{8}[/tex]
[tex]z = 10[/tex]
The first bottle holds 10 ounces of water.
convertir 26 grados celsius a grados a grados fahrenheit
Answer:
Para transformar 26 °C a grados Fahrenheit tienes que multiplicar 26 x 9/5 y después sumarle 32. 1 °C son 33,8 °F.
Step-by-step explanation:
26 degrees Celsius is equal to 78.8 degrees Fahrenheit.
To convert 26 degrees Celsius to degrees Fahrenheit, you can use the following formula:
°F = (°C × 9/5) + 32
Plug in the value of celsius.
°F = (26 × 9/5) + 32
°F = (234/5) + 32
°F = 46.8 + 32
°F = 78.8
Therefore, 26 degrees Celsius is equal to 78.8 degrees Fahrenheit.
To learn more on Temperature click:
https://brainly.com/question/7510619
#SPJ6
Convert 26 degrees Celsius to degrees Fahrenheit?
Given f(x)=(0.5)^x, give the rule for g(x) if it is f(x) shifted to the left 1 unit, down 3 units, and reflected over the x-axis
Answer:
g(x) = -(0.5)^(x + 1) + 3
Step-by-step explanation:
First, let's define the transformations used in this case:
Horizontal shift (horizontal translation):
If we have a function f(x), a horizontal translation can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation s to the left.
Vertical shift (vertical translation):
If we have a function f(x), a vertical translation can be written as:
g(x) = f(x) + N
if N is positive, the translation is upwards
if N is negative, the translation is downwards.
Reflection over the x-axis.
If we have a function f(x), a reflection over the x-axis is written as:
g(x) = -f(x).
Now we have the function:
f(x) = (0.5)^x
Let's apply the transformations:
"shifted to the left 1 unit"
g(x) = f(x - (-1) ) = f(x + 1)
"shifted down 3 unts"
g(x) = f(x + 1) - 3
"reflected over the x-axis"
g(x) = -( f(x + 1) - 3 ) = -f(x + 1) + 3
now we can replace the function equation here and get:
g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3
help me pls I would aprreciate it
Answer:
b
Step-by-step explanation:
10x5+4to the power of 2+(5+30 divided by 10
Answer:
10 * 5 + 4^2 + (5 + 30 ÷ 10)=74
Answer:
74
Step-by-step explanation:
The value of almost everything you own assets such as a car computer oar house depreciates goes down overtime when an asset value decreases by a fixed amount each year the depreciation is called straight line depreciation suppose your truck has an initial value of $12,400 depreciates $820 per year write an equation illustrates this function if you plan to keep your truck for seven years and determine the value of the truck at the end of this. Period let v represent the dependent variable in T represent the independent variable
Answer:
A
Step-by-step explanation:
Trust
The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Here, your truck has an initial value of $12,400 depreciates $820 per year.
Let number of years = r
Hence, We get the correct equation is,.
⇒ y = 12,400 - 820r
So, For r = 7 years;
⇒ y = 12400 - 820 x 7
⇒ y = 12400 - 5740
⇒ y = $6,660
Thus, The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ5
plz answer the question and explain how you got the answer
Writing Linear Equations
Two less than five times a number x is equal to 13. Solve for x.
Answer:
x = 3
Step-by-step explanation:
5x - 2 = 13 (write the equation)
5x - 2 + 2 = 13 + 2 (isolate the variable)
5x = 15
5x/5 = 15/5 (simplify)
x = 3
Answer: x=3
Step-by-step explanation:
13=5x-2
13+2=5x
15=5x
x=15/5
x=3
A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?
Answer:
9.6%
Step-by-step explanation:
The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
To get the geometric probability, we must find the area of the rectangle.
Total outcomes = 20' × 25' = 500'
Total favourable outcomes = 6' × 8' = 48'
Probability = 48/500 = 0.096
= 0.096×100 = 9.6%
Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Determine the standard deviation (sigma) by filling in the table as part of your calculation.
Consider the following data 13, 14, 11, 11, 13, 10
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared
a.
0.82
c.
1
b.
1.41
d.
0.41
Please select the best answer from the choices provided
A
B
C
D
Answer:
b
Step-by-step explanation:
acellus sucks
Answer:
B
Step-by-step explanation:
2. A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5
Answer:
Step-by-step explanation:
A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5
help
i will give brainly
Answer:
I think its store A.
Step-by-step explanation:
Correct me if I am wrong please
while shopping for clothes tracy spent $25 less than 3 times what curtis spent. Tracy spent $14. write and solve an equation to find how much curtis spent. Let x represent how much curtis spent.
3x-25=14
First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)
39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.
Can someone help me with this PLZ
Answer:
6 and 8
Step-by-step explanation:
Answer:
6 and 8
Step-by-step explanation:
Q1: 6 and 8
Q2: 8 and 12
Q3: 12 and 15
Q4: 15 and 20
Brainlist Pls!
Subtract the following polynomials in this equation.
Answer:
c
Step-by-step explanation:
it a c....................
Find 33⅓% of ⅘ of $4.50.
temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop
Answer:
10
Step-by-step explanation:
2--8
2+8
10
8 below zero is -8
Please help algebra work
Answer:
I think it is J
Step-by-step explanation:
the x-2.... so on x axis on 2....and +5 is y intercept
Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto.Los azulejos son cuadrados de 20 cm de lado
Pregunta completa:
Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.
Respuesta:
160 tejas
7 cajas
Explicación paso a paso:
Dimensión de la pared = 6 m por 2,4 m
Área de la pared = 6 m * 2,4 m
Área de la pared = 14,4 m²
Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m
Área de la loseta cuadrada = s² = 0.3² = 0.09m²
Número de baldosas cuadradas necesarias:
14,4 m² ÷ 0,09 m²
= 160 fichas cuadradas
Si hay 25 fichas en una caja;
Número de cajas a comprar:
160/25
= 6,4 ≈ 7 cajas
PLXS HELP NEED BY TODAY
Answer:
I believe its 17, this is a 90 degree angle, so 90-73=17
Step-by-step explanation:
Solve for x
3x+7=57 pleas hurry
Answer: x=50/3
Step-by-step explanation:
Answer:
16.6 ( the 6 is repeated) or 16 and 2/3
Step-by-step explanation:
Take the 7 away which equals 50 and then divide by 3..