The equation for the amount in a savings account over time is provided, and the time to reach a balance of $800 is calculated.
The equation representing the amount of money in the account over time is A(t) = [tex]500(1 + 0.015)^t[/tex] where t is the number of years.
To find the time it takes for the account balance to reach $800, we substitute $800 for A(t) in the equation and solve for t.
For $800 = [tex]500(1 + 0.015)^t[/tex], solving for t gives t = 7.31 years.
NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation:
The ratio of the length of a rectangular field to its width is 4:3. If the length of the field is 100 meters, what is the perimeter of the field, in meters?
Answer:
350
Step-by-step explanation:
divide 100/4= 25
25*3=75 so width = 75 meters
perimeter= 2(l+w)
perimeter= 2(100+75)
perimeter= 2(175)
perimeter= 350
Answer:
IS THIS FOR RSMMM??
Step-by-step explanation:
350
Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15
Answer:
[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]
Step-by-step explanation:
When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:
a column for the values of x in each equationa column for the values of y in each equationa column for the independent values of each equationsince our system of equations is:
[tex]3x-5y=12\\ 4x-2y=15[/tex]
we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:
[tex]\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right][/tex]
Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:
[tex]\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right][/tex]
Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:
[tex]\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right][/tex]
usually there is a line separating the columns for the values of x and y, and the independent values:
[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]
this is the matrix of the system of equations
please help me with this problem
Answer:
x - 16
Step-by-step explanation:
Let the height of the taller palm tree be x.
The shorter palm tree's height is
x - 16
Answer:
x < 16
This is the answer but there has to be 20 characters so I wrote this.
Just go with the other guys answer
The repeating decimal number 8.2151515... written as a fraction is
(Simplify your answer. Type a fraction.)
Solve the inequality for x.
–8x – 16 < –72
A) x < 7
B) x < 11
C) x > 7
D) x > 11
Answer:
x > 7
Step-by-step explanation:
–8x – 16 < –72
Add 16 to each side
–8x – 16+16 < –72+16
-8x < -56
Divide each side by -8, remembering to flip the inequality
-8x/-8 > -56/-8
x > 7
Can someone help me and explain what to draw? I need this done ASAP
Answer: VV
Step-by-step explanation:
Which side of triangle QRS is the longest?
Explanation:
Refer to the diagram below. The longest side of a triangle is always opposite the largest angle. Angle Q = 80 is the largest angle, so the opposite side RS is the longest side.
Side note: the smallest side is always opposite the smallest angle
Answer:
The answer is B:QR
Step-by-step explanation:create the triangle or add angel Q+R=?then Q+S=? then see what has greater vaulewhat is the maximum height
Answer:
the highest height would be 144
I really need someone to help me with this question ASAP.
Answer:
a=2, b=-20
Step-by-step explanation:
4(2xsquared -5x+3)= 8xsquared -20x +12
What number multiplied by 8 will give a product of 9.6?
Answer:
1.2
Step-by-step explanation:
Write out the equation and let mbe the missing number:
8 × m = 9.6
Divide 8 to both sides:
[tex]\frac{8}{8}[/tex] × m = [tex]\frac{9.6}{8}[/tex]
Simplify for M
m = 1.2
The number that needs to be multiplied by 8 to yield the product of 9.6 is 1.2. This is calculated by dividing 9.6 by 8.
Explanation:The student is asking to solve for a number that when multiplied by 8 results in the product of 9.6. This can be solved by a straightforward division operation. When we say, 'a number multiplied by 8 equals 9.6', we're actually writing an equation for multiplication. To get that number, we'll need to divide 9.6 by 8 because division is the inverse operation of multiplication.
Here's how you do it, step-by-step:
Write down the division operation of 9.6 ÷ 8. Perform the division.
The solution to 9.6 ÷ 8 is 1.2. So, the number multiplied by 8 to get 9.6 is 1.2.
Learn more about Division here:https://brainly.com/question/37843448
#SPJ3
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
7.739
1.314
+ 2.073
Answer:
11
Step-by-step explanation:
1. round all decimals (7.739 to 8, 1.314 to 1, and 2.073 to 2)
2. 8+1+2=11
OR
1. 7.739+1.314+2.073=11.126
2. round answer (11.126 to 11)
answer is 11
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = to 86)?
Answer:
P(X >= 86) = P (Z >= 1) = 0.1587 from the Z-scores table
Step-by-step explanation:
Hopefully this time I will not make an algebraic mistake.
Ok
so mean u = 79, and standard dev = s = 7
We want P(X >= 86)
Standardize:
P ( (X - u)/s >= (86 - 79)/7 ) = P (Z >= 1) = 0.1587 from the Z-scores table
if it is P(x<=86) the answer is 0.84
Step-by-step explanation:
please help!
You flip a coin, and then roll a number cube twice. (a number cube 1-6) Find the probability of the event.
1) Flipping head, rolling a 5, and rolling a 2
2) Flipping tails, rolling an odd number, and rolling a 4
3) Flipping head, not rolling a 2, and rolling an even number
Answer:
1) 1.4%
2) 8.3%
3) 20.8%
Step-by-step explanation:
Alrighty! You are looking at some compound probability problems.
The trick with these is to figure out the probability of each piece of an event, and then multiply those together to get the overall probability.
Quick note about notation: p(event A) is short hand for saying "The probability of event A is....."
1) Flipping head, rolling a 5, and rolling a 2
P(flipping heads) = 1/2
p(rolling a 5) = 1/6
p(rolling a 2) = 1/6
so: (1/2) x (1/6) x (1/6) = 1/72 or about 1.4%
2) Flipping tails, rolling an odd number, and rolling a 4
p(flipping tails) = 1/2
p(rolling an odd number) = 3/6
p(rolling a 4) = 1/6
so: (1/2) x (3/6) x (1/6) = 3/72 or about 8.3%
3) Flipping head, not rolling a 2, and rolling an even number
p(flipping heads) = 1/2
p(not rolling a 2) = 5/6
p(rolling and even number) = 3/6
so: (1/2) x (5/6) x (3/6) = 15/72 or about 20.8%
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3
Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 18)(x + 35)
A = (x + 15)(x + 25) + 30
A = (x + 5)(x + 22)
A = (x + 25)(x + 15) − 30
Answer:
A = (x + 18)(x + 35)
Step-by-step explanation:
Answer:
A = (x + 25)(x + 15) − 30
Step-by-step explanation:
Area of the patio:
Sp = lwl = x +25w = x + 15S = (x + 25)(x + 15)Area of bench:
Sb= lw = 10*3 = 30Area A to be painted is the area of patio minus area of bench:
A = (x + 25)(x + 15) - 30So the last choice is the correct one.
can someone please help
Answer:
IV
Step-by-step explanation:
Answer:
the correct answer is ll
Step-by-step explanation:
because posative to posotive is section 1 and negative to posotive is section 2 and negativ to negative is 3
Pure silver has a density of 10.49 g/cm3. If you have
42 grams of pure silver, what is the volume of your sample?
Round to four significant digits.
0.2498 cm^3
1.915 cm^3
2.216 cm^3
4.004 cm^3
Answer: Volume of sample is 4.004 cm³
Step-by-step explanation:
Given: Density of pure silver is 10.49 g/cm³
Mass of silver = 42 grams
To find: The volume of sample
As we know
[tex]\text{ Density }= \dfrac{\text {Mass }}{\text {Volume }}[/tex]
As given in question we have
[tex]10.49 \text { g/}cm^3 = \dfrac{42 g }{\text {Volume}} \\\\\Rightarrow \text {Volume}= \dfrac{42g}{10.49\text { g/}cm^3 } \approx 4.0038 \approx 4.004 cm^3[/tex]
Hence 4. is the right option
Volume of sample is 4.004 cm³
A student draws three cards from a standard deck of cards. If the student replaces the card after each draw, what is the probability that none of the chosen cards were spades?
A. 3/4
B. 63/64
C. 27/64
D. 1/64
Please help I’ll give brainliest answer
The probability that none of the chosen cards were spades is 27/64.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
A student draws three cards from a standard deck of cards. If the student replaces the card after each draw.
Number of spades card = 13
The number of non-spade cards would be 39
The probability that none of the chosen cards were spades = Number of favorable outcomes / total number of outcomes
= 27/64.
Thus, The probability that none of the chosen cards were spades is 27/64.
Learn more about probability;
https://brainly.com/question/3615575
James places 1 counter in the first box.he placed 2 counters in the second box,4 counters in the third box ,8 counters in the fourth box ,and continues the pattern until he gets to the tenth box how many counters did James place in the tenth box?
He placed 512 counters in the tenth box
Because... If you do a (number pattern aka a list of numbers that follow a certain sequence or pattern) your pattern will be 1,2,4,8,16,32,64,128,256,512, So in the tenth box it will be 512 because I did the pattern and reached the tenth number, which is 512 so me and Avajcantu are correct.
You can also say 2 to the power of 9 or 10 to get 512 it’s the same thing. ⇒I hope this helped <3 and don’t copy without permission thank you!
"If x = y, then x + 4 = y + 4" represents the ________ property of equality.
Question 9 options:
A)
subtraction
B)
addition
C)
transitive
D)
substitution
Answer:
B
Step-by-step explanation:
The volume of a cylinder is 63.6 cubic inches,
and its height is 9 inches. Find the diameter of
the base of the cylinder.
Final answer:
To find the diameter of the base of the cylinder, use the formula for the volume to solve for the radius, then double the radius to find the diameter.
Explanation:
To find the diameter of the base of the cylinder, we need to first find the radius. We can use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. Rearranging the formula to solve for the radius, we have r = √(V/πh).
Plugging in the given values: V = 63.6 cubic inches and h = 9 inches, we can find the radius: r = √(63.6/3.142 x 9).
Calculating the values: r ≈ √(20.2649) ≈ 4.5055 inches. The diameter is twice the radius, so the diameter ≈ 2 x 4.5055 ≈ 9.011 inches.
Solve (x +9)2 = 25.
1. Apply the square root property of equality:
2. Isolate the variable.
V(x + 9)2 = 1,25
If x + 9 = 5, then x = 1
If x + 9 =-5, then x=
Answer:
[tex]x = - 4 \: or \: x = - 14[/tex]
Step-by-step explanation:
We have been given the equation
[tex](x + 9) {}^{2} = 25[/tex]
and we are asked to apply the square root property of equality to our given a equation and isolate the variable
First, take the square root of both sides of our equation
[tex] \sqrt{(x + 9) {}^{2} } = \sqrt{25} [/tex]
[tex]x + 9 = \: 15[/tex]
[tex]x + 9 = 5 \: or \: x + 9 = - 5[/tex]
[tex]x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9[/tex]
[tex]x = - 4 \: or \: x = - 14[/tex]
THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION
[tex]x + 9 = 5 \: then \: x = - 4. \\ x + 9 = - 5 \: then \: x = - 14[/tex]
PLEASE MAKR ME BRAINLIEST IF YOU ARE HAPPY WITH THE ANSWER
Pls help w 9 and 10 I need help
Answer:
theyre both b
Step-by-step explanation:
A line has a slope of 9 and a y-intercept of 5.What is its equation in slope-intercept form
Answer:
y=9x+5
Step-by-step explanation:
y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.
Given that m (the slope) = 9 and b (the y-intercept) = 5, we can substitute directly into the equation and get this answer:
y=9x+5
Jennet graphs the inequality Negative 6 less-than x on the number line below.
A number line going from negative 11 to negative 1. An open circle is at negative 6. Everything to the right of the circle is shaded.
Which best describes the accuracy of Jennet’s graph?
The graph is incorrect. The number line represents numbers greater than –6 and the “less than” symbol is used in the inequality.
The graph is incorrect. There should be a closed circle at –6.
The graph is incorrect. The number line represents numbers less than –6 and the “greater than” symbol is used in the inequality.
The graph is correct.
Answer: the graph is correct.
Step-by-step explanation:
Answer:
dD
Step-by-step explanation:
15 POINTSSS ANSWER ASAP PLEASE!!!!! What is the equation, in point-slope form, of the line that is
parallel to the given line and passes through the point (4, 1)?
y-1=-2(x - 4)
y-1=-{(x-4)
oy-1= (x-4)
y-1 = 2(x - 4)
Answer:
The Answer is : D
Step-by-step explanation:
First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.
Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).
y-1 = 2 (4-4)
y-1= 2 (0)
y-1= 0
y= 1
In this case D is correct.
TIP*
If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.
Two friends shop for fresh fruit. Jackson buys a watermelon for $8.85 and 3 pounds of cherries. Tim buys a pineapple for $3.35 and 2 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
Answer + Step-by-step explanation:
Jackson spent $8.85 on watermelon and p*3 dollars on cherries, which simplifies to 8.85 + 3p dollars.
Tim spent $3.35 on pineapple and p*2 dollars on cherries, which simplifies to 3.35 + 2p dollars.
To find how much more Jackson spent than Tim, we can subtract Tim's total cost from Jackson's total cost, giving:
(8.85 + 3p) - (3.35 + 2p) = 5.50 + p
So Jackson spent $5.50 + p more than Tim.
A science experiment calls for ¾ cup of baking powder you have ⅓ cup of baking powder how much more baking powder do you need?
Answer:
5/12
Step-by-step explanation:
We have to find same denominator for both fractions;
3/4= 9/12
1/3= 4/12
9/12 minus 4/12= 5/12
You will need 5/12 powder more for the experiment.
3x-61=2x-50
I need the answer
Answer: [tex]x = 11[/tex]
Solving for variable x
Move all terms containing x to the left, all other terms to the right
Add -2x to each side of the equation
[tex]-61 + 3x + -2x = -50 + 2x + -2x[/tex]
Combine like terms: 3x + -2x = 1x
[tex]-61 + 1x = -50 + 2x + -2x[/tex]
Combine like terms: 2x + -2x = 0
[tex]-61 + 1x = -50 + 0\\-61 + 1x = -50[/tex]
Add 61 to each side of the equation.
[tex]-61 + 61 + 1x = -50 + 61[/tex]
Combine like terms: -61 + 61 = 0
[tex]0 + 1x = -50 + 61\\1x = -50 + 61[/tex]
Combine like terms: -50 + 61 = 11
[tex]1x = 11[/tex]
Divide each side by 1
[tex]1x/1=11/1\\x=11[/tex]
Plz help i will give brainliest
Answer:
I 7AM I you have the same problem as the one that was the same as a good friend and a friend