A colony of spiders has a population of 350. The population is decreasing at a rate of 3% per year. Write an exponential decay function for the quarterly decay rate. What does the y-intercept of its graph mean in this context? Round values to the nearest thousandth. function:__________
The y-intercept is the_________
at time________
Step-by-step explanation:
350 decreasing at 3% per year
the function is
y = mx + c
m is the gradiant (change)
c is the y-intercept (when x = 0)
first m
it is decreasing by 3 %
3% as a decimal = 0.03
m = -0.03
c is
at the start
we start with 350
c = 350
put back into the equation
y = ?x + ?
put answer in comments i will mark
please mark brainest
A customer in Indiana buys 4 bags of Gone Bananas treats for $8.99 each. The sales tax in Indiana is 7%. What is the total cost of the order?
4 x 8,99 x 1,07 = £38,48
Brandon has 36000 to invest and wants to earn 5% interest per year. He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year. How much money should he put into each account so that he earns 5% annually
Answer:
The money in an account that earns 4.4% interest per year = 22500
The rest into an account that earns 6% interest per year = 13500
Step-by-step explanation:
Interest = Principal × Rate × Time
Let x = money saved in account A
Let y = money saved in account B
Brandon has 36000 to invest and wants to earn 5% interest per year
x + y = 36000..... Equation 1
x = 36000 - y
He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year.
Hence:
4.4% × x × 1 + 6% × y × 1 = 36000 × 5% × 1
0.044x + 0.06y= 1800....... Equation 2
Substitute 36000-y for x in Equation 2
0.044(36000 - y) + 0.06y = 1800
1584 -0.044y + 0.06y = 1800
-0.044y + 0.06y = 1800 - 1584
0.016y = 216
y = 216/0.016
y = 13500
Note that:
x = 36000 - y
x = 36000 - 13500
x = 2250
Therefore,
The money in an account that earns 4.4% interest per year = 22500
The rest into an account that earns 6% interest per year = 13500
I need to stay in math
Answer:
? = 42 degrees
Step-by-step explanation:
The 105 is part of a 180 degree angle so we do 180-105 giving us 75 degrees. and the sum of the internal angles of a triangle should equal 180. so we add 57 + 75 giving us 132. 180-132 will be 48 degrees.
Suppose that ∠BNR and ∠RNA are adjacent angles where m∠BNR=12w-19,
m∠RNA= ¼(w+199), and m∠BNA=2(12w-19).
What is the value of W
Answer:
Step-by-step explanation:
Sum of interior adjacent angle is 180 degrees.
Given
m∠BNR=12w-19,
m∠RNA= ¼(w+199)
m∠BNA=2(12w-19).
Substitute
m∠BNR+m∠RNA=
¼(w+199)+12w-19, = 2(12w-19).
W+796+48W-76 = 96W-152
49W-96W = -152+76-796
-47W = 872
W = 872/47
W = 18.55
Find the product: -4/9 and -3/8
Answer:
1/6
Step-by-step explanation:
-4/9 * (-3/8) =
= 12/72
= 1/6
Answer:
Step-by-step explanation:
-4/9 x -3/8 = (-4)(-3) / 8x9 = 12 / 72 = 6/36 = 1/6
Was the caste system a fair system based on religious beliefs or was it a social
structure that promoted inequality?
I really need help!!!
Use the figure below to match the type of angles with the correct type of angles.
Answer choices:
Vertical Angles
Complementary
Corresponding Angles
Same-Side Interior Angles
Alternate Interior Angles
Alternate Exterior Angles
Same-Side Exterior Angles
Supplementary
Answer:
1 & 3 - Vertical Angles1 & 2 - Supplementary4 & 6 - Alternate Interior Angles3 & 6 - Same-Side Interior Angles1 & 7 - Alternate Exterior Angles2 & 7 - Same-Side Exterior Angles1 & 5 - corresponding angles5 & 8 - Supplementary6 & 8 - Vertical Angles3 & 5 - Alternate Interior Angles4 & 5 - Same-Side Interior Angles1 & 8 - Same-Side Exterior Angles2 & 6 - corresponding angles4 & 8 - corresponding angles3 & 7 - corresponding anglesHope this helps!
John Paul gave the cashier $50 to pay for 8 bags of apples. The cashier gave him $17.49 in change.
What is the cost in dollars and cents for each bag of apples?
Answer:
$4.07
Step-by-step explanation:
50-17.49=32.51
32.51/8=4.0637
round that up
Look at the photo atttatched
Answer:
A, D, E are equivalent expressions.
Step-by-step explanation:
A)
[tex]\dfrac{2}{3}a+\dfrac{5}{3}b + ( 8 + 4) - 4 =\dfrac{2}{3}a +\dfrac{5}{3}b + 12 - 4\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8\\\\[/tex]
Here, 8+4 = 12 and when we subtract 4 from 12, we get 8.
[tex]D) 6*(\dfrac{2}{3}a+\dfrac{5}{3}b+8)*\dfrac{1}{6}=6*\dfrac{1}{6}(\dfrac{2}{3}a+\dfrac{5}{3}b+8)\\\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8[/tex]
Here, 6 and 1/6 will be cancelled and we get 1.
[tex]E) \dfrac{2}{3}a+\dfrac{5}{3}b+ 0*\dfrac{1}{3}c+8=\dfrac{2}{3}a+\dfrac{5}{3}b+0+8\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b+8[/tex]
0 multiplied by any value is 0. So, term multiplied by 0 = 0
PLEASE HELP OMG I NEED THIS ASAP
Answer:
45
Step-by-step explanation:
To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45
8. If tan + 2 = 0, find in the range 0° and 360°
[A] 129.1, 158.2
[B] 19.5, 160.5
[C] 26.7,338.2
[D] 158.2, 338.2
PLEASE HELP simplify (6 1\4) ^4
Answer:
[tex](\frac{390625}{256 } )[/tex]
Step-by-step explanation:
The exponent decides how much times does the base needs to multiply itself. In the given expression, the exponent is 4. Thus, 6 1/4 needs to multiply itself 4 times.
⇒ [tex](6 \frac{1}{4}) ^4[/tex]Convert 6 1\4 into improper fraction
⇒ [tex](\frac{25}{4} ) ^4[/tex]⇒ [tex](\frac{25}{4})(\frac{25}{4})(\frac{25}{4})(\frac{25}{4})[/tex]⇒ [tex](\frac{25^{4}}{4^{4} } )[/tex]⇒ [tex](\frac{390625}{256 } )[/tex]Thus, the simplified fraction is [tex](\frac{390625}{256 } )[/tex].
What is the y-intercept of 2x+5y=−20 ?
(0,−4)
(10,4)
(0,10)
(−4,0)
Answer:
(0,-4)
Step-by-step explanation:
Just took the quiz
Which function has the greatest rate of change? A) y = 3x - 4 B) 4y - 8x = 1 C) a line passing through points (2,6) and (3,10) D) a line passing through points (5,−2) and (6, 4) ?
Answer:
I think the answer would be C. or A.
Step-by-step explanation:
pls help! i need to know the slope of the graph! will give brainliest to best explanation
Answer:
1200
Step-by-step explanation:
100 POINTS!!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!! HELP ASAP!!!!!!!
Is (1, 5) a solution to the following system of equations? Show and explain why or why not.
[tex]f(x)=3x+2[/tex]
[tex]g(x)=[x-1]+1[/tex]
Answer:
The solution(s) to a system of equations is the point(s) of intersection.
To find the solution, equate the equations and solve for x to find the x-coordinate:
[tex]\implies f(x)=g(x)[/tex]
[tex]\implies 3x+2=[x-1]+1[/tex]
[tex]\implies 3x+2=x[/tex]
[tex]\implies 2x=-2[/tex]
[tex]\implies x=-1[/tex]
Now substitute the value of x into one of the equations to find the y-coordinate of the solution:
[tex]f(-1)=3(-1)+2=-1[/tex]
So the solution to this system of equations is (-1, -1)
Therefore, (1, 5) is NOT a solution to the system of equations.
Let's check
[tex]\\ \rm\rightarrowtail y=3x+2[/tex]
Put (1,5)[tex]\\ \rm\rightarrowtail 5=3+2[/tex]
[tex]\\ \rm\rightarrowtail 5=5[/tex]
Verified
And
[tex]\\ \rm\rightarrowtail y=[x-1]+1[/tex]
[tex]\\ \rm\rightarrowtail 5=1-1+1[/tex]
[tex]\\ \rm\rightarrowtail 5\neq 1[/tex]
No
Solve 23 x 105.
23,000,000
230,000
23,000
2,300,000
Carter’s bikes look in the image. Thank you in advance.
Answer:$12 + $15h = $72
H=4 Scott rented the bike for 4 hours.
Step-by-step explanation:
Subtract 12 from each side. You then have $15h = $60 now you divide each side by 15 to get 4
Answer:
The solve for h= is 4 hours
The equation is 12+ 15=27
He rented the bike for 4 hours.
Find the measure of the missing angles
[tex]y = 65[/tex]
Since it is vertically opposite to that angle, it means that it's equal to it as well.[tex]x + 65 = 180[/tex]
[tex]x = 180 - 65[/tex]
[tex]x = 115[/tex]
X is supplementary to the angle besides it, meaning that their sum must he 180.[tex]z = x = 115[/tex]
Vertically opposite as well. :)A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
5F +
C =
39°F =
°C rounded to the nearest tenth of a degree
Answer: 39F = 3.9C rounded to the nearest tenth of a degree
Step-by-step explanation:
Write 16+32 as a product of 2 factors using the GCF and distributive property.
Answer:
(8(2 + 4)
Step-by-step explanation:
16 + 32 ← factor out 8 from each term
= 8(2 + 4)
Dante is studying the growth of a particular type of plant. He is testing the effects of four growth factors: lighting, age, temperature, and humidity …. Here are the levels he's
The level from each growth factors is an illustration of combination
There are 90 ways of combining one level from each growth factors
How to determine the number of combination
From the complete question (see attachment), we have the number of levels in each growth factor is:
Lighting = 3Age = 5Temperature = 2Humidity = 3So, the number of combination (n) is:
n = 3 * 5 * 2 * 3
n = 90
Hence, there are 90 ways of combining one level from each growth factors
Read more about combination at:
https://brainly.com/question/11732255
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
36.8%
Step-by-step explanation:
formula to find percent increase: (|old-new|)/old *100
|95-130|/95 *100
36.8%
What is the end behavior of f(x) ? plz help!
Answer:
D
Step-by-step explanation:
The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.
Let's take a look at each end.
As x approaches negative infinity:
We can see from the graph that as x approaches negative infinity (a.k.a as x goes towards the left), the graph is curving upwards.
Therefore, as x approaches negative infinity, f(x) approaches positive infinity.
Therefore, the end behavior of the left is:
[tex]\text{As } x\rightarrow -\infty, f(x)\rightarrow\infty[/tex]
As x approaches (positive) infinity:
We can see from the graph that as x approaches positive infinity (as x is moving towards the right), the graph f(x) is curving downwards.
Therefore, as x approaches positive infinity, f(x) approaches negative infinity.
Therefore, the end behavior of the left is:
[tex]\text{As } x\rightarrow\infty, f(x)\rightarrow-\infty[/tex]
So, our answer is D.
And we're done!
Which expression is equivalent to (2 cubed) Superscript negative 5?.
The expression which is equivalent to (2³)^-5 is; 1/(2)^15.
Which expression is similar to (2³)^-5?By the law of indices, it follows that exponents as that given in the task content can be evaluated as follows;
(2³)^-5
= (2) ^(3×-5)
= 2 ^(-15)
Hence, the expression can be rewritten as; 1/(2)^15.
Read more on indices;
https://brainly.com/question/8952483
#SPJ1
Answer:
a
Step-by-step explanation:
i did the test
Gerald is going mini golfing at Golf-O-Rama with his family. For his family of 5 to play it costs $34. They were charged for three student tickets and two adult tickets. If a student ticket costs 3/4 as much as an adult ticket costs, how much does one student ticket cost?
Answer:
The cost of one student ticket = $6
Step-by-step explanation:
They were charged for three student tickets and two adult tickets.
Let the cost of one student ticket = a
Let the cost of one Adult ticket = b
If a student ticket costs 3/4 as much as an adult ticket costs
a = 3/4(b)
= 3b/4
For his family of 5 to play it costs $34.
Hence:
3a + 2b = $34
a = 3b/4
3(3b/4) + 2b= 34
9b/4+ 2b = 34
9b + 8b / 4 = 34
17b/4 = 34
17b = 34 × 4
b = 136/17
b = $8
The cost of one Adult ticket = $8
Note that:
a = 3b/4
a = 3(8)/4
a = 24/4
a = $6
Therefore, the cost of one student ticket = $6
If you deposit $5000 into an account that pays 3% annual Interest compounded -annually, how much money will you have after 2 years?
Answer:
$5304.5
Step-by-step explanation:
5000 x 1.03²
1.03=3%
x² =2 years
Does anyone know how to do this?
Answer:
think red is 40 cm squared and the orange is 75 cm squared. You add for 115 cm squared
Step-by-step explanation:
Hope this helps my guy, please give me brainliest. :D
help me please thank you
18
RS = BC
19
angle A = angle Q
20
real blueprint
we know 45 9 width
we're looking for 70 n
45 x n = 70x 9
n = 630 : 45 = 14
=> 14 in
#18
Just observe the naming you can answer without seeing the diagram even
∆ABC~∆QRS
RS is at end so it is similar to BCOption D.
#19
<A~<QOption B
#20
Let that be x
Ratio remains same[tex]\\ \tt\hookrightarrow \dfrac{45}{70}=\dfrac{9}{x}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{9}{14}=\dfrac{9}{x}[/tex]
[tex]\\ \tt\hookrightarrow x=14in[/tex]
Option D