Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
What is 25 x 10^6 in standard form
Answer:
25 x 10^6 in standard form
= 25,000,000
Step-by-step explanation:
brainleist!
Answer:25,000,000
Step-by-step explanation:
Find the number of sides of a polygon if each interior angle is 150°
Answer:
12
Step-by-step explanation:
The interior angle and exterior angle sum to 180° , thus
exterior angle = 180° - 150° = 30°
The sum of the exterior angles of a polygon = 360° , thus
number of sides = 360° ÷ 30° = 12
Hazel buys a dress that costs $50.00. She pays 5% sales tax. How much does she pay for the dress with tax?
Answer:
$52.5
Step-by-step explanation:
Costing Price = $50
Tax = 5% of $50
=> [tex]\frac{5}{100} * 50[/tex]
=> 0.5*5
=> $2.5 Tax
Total Cost = CP + Tax
=> $50 + $2.5
=> $52.5
Answer:
52.50
Step-by-step explanation:
i just did the test
Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)
Answer:
529 plan
Step-by-step explanation:
The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses
Answer:
529 plan
Step-by-step explanation:
A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.
Can somebody help me with this ?? :)
Answer:
A. 14
Step-by-step explanation:
Since they are congruent, triangle TUV just needs to be flipped around to find the length of UV.
Answer:
14 inches
Step-by-step explanation:
For these problems you just have to flip the image in your head to picture what the image will look like the other way around. If you flip it, you can see it's congruent to RS which measures 14 inches long. Therefore, it's 14 inches long.
Terry has a credit card that uses the average daily balance method. For the first 18 days of one of his billing cycles, his balance was $350
Complete question:
Terry has a credit card that uses the average daily balance method. For the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520. If his credit card's APR is 14%, which of these expressions could be used to calculate the amount Terry was charged in interest for the billing cycle?
(0.14/365 31)(18 $350 + 12 $520 / 31)
(0.14/365 30)(18 $350 + 12 $520 / 30)
(0.14/365 30)(12 $350 + 18 $520 / 30)
(0.14/365 31)(12 $350 + 18 $520 / 31)
Answer:
(0.14/365 30)(18 $350 + 12 $520 / 30)
Step-by-step explanation:
Number of days in a year = 365
Number of days in billing cycle = (18 + 12) = 30
Interest rate per year = 14% = 0.14
Amount charged monthly :
(Monthly rate × average daily balance)
MONTHLY RATE:
(Annual interest / number of days in year) * days in billing cycle
(0.14 / 365) × 30
Average daily balance :
First 18 days ; balance = $350
Last 12 days ; balance = $520
Sum of balance / days in billing cycle
[(18 × $350) + (12 × 520)] / 30
THEREFORE, MONTHLY INTEREST CHARGE :
((0.14 / 365) × 30) ((18 × $350) + (12 × 520) / 30)
A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.
Answer:
the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)
Step-by-step explanation:
The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
sequence is 19, 15, 11 ....
so nth term is : -4n+(19+4)
therefore : -4n + 23
Answer:
-4n + 23
Step-by-step explanation:
Help me real quick plz, will give more points and 5 star rate if right answer is given.
Step-by-step explanation:
I think D
But I am not sure
sorry unknowingly I typed option A
Answer:
D
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.
Answer:
Hope it helps:) 18j+10
Step-by-step explanation:
(2)(3j+5+6j)
(2)(3j)+(2)(5)+(2)(6j)
6j+10+12j
18j+10
pls answer. i will mark as branliest
Answer:
The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:
x = 38 + 79 which simplifies to x = 117°.
Answer:
117 degrees
Step-by-step explanation:
38* is one inside angle
to find the other you got to find the rest if you do 180-101 you get 79.
all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117
OK sorry i had it wrong apparently i cant read
What is the standard form for the quadratic function? g(x)=(x+1)2−2 g(x)=x2−1 g(x)=x2−2x−4 g(x)=x2+2x−1 g(x)=x2−3
Answer:
x^2 + 2x - 1
Step-by-step explanation:
g(x)=(x+1)2−2 would be a quadratic if you'd write it like this: g(x)=(x+1)^2−2.
This expands to g(x) = x^2 + 2x + 1 - 2 = x^2 + 2x - 1
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense
Answer:
He's wrong, he should have divided both sides by 3
b≤8.66666
Step-by-step explanation:
Answer:
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?
Step-by-step explanation:
If the sum of first 9 terms of an A.P is equal to sum of its first 11 terms, then what is the sum of its 20 terms?
Pls Anyone help me!!
Answer:
Put the values into the formula....let me know if you need help....
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
Sum of the first 9 terms = 9/2 (2a + 8d)
Sum of the first 11 terms = 11/2 (2a + 10d)
S9 = S11
9a + 36d = 11a + 55d
2a = -19d
2a + 19d = 0...........(1)
S20 = 20/2 (2a + 19d)
= 20/2 (0) . .. ............from (1)
S20 = 0
Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
I NEED HELP ASAP! THANKS :)
Answer: A) stretched vertically by 2 and shifted up 6 units
Step-by-step explanation:
y = A log(Bx - C) + D where
A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
A recipe for oatmeal cookies calls for 5 cups of flour for every 6 cups of oatmeal. How much flour is needed for a big batch of cookies that uses 18 cups of oatmeal?
Answer:
15
Step-by-step explanation:
So first you need to find out how many groups of 6 cups of oatmeal there are. So for this just do 18/6=3
So now you should be able to find the amount of flour by doing 5*3=15
The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
In order to find out how many groups of 6 cups of oatmeal there are.
So, For every 6 cups of oatmeal = 18/6=3
Now,
For 5 cups of flour = 5 x 3 = 15
The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.
Learn more about the unitary method;
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22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
Answer:
100
Step-by-step explanation:
Let's convert both numbers into fraction form.
let x=8.33 bar
x=8.33 bar
10x=83.33 bar
9x=75
x=25/3
[tex]\sqrt{144}=12[/tex]
[tex]\frac{25}{3}*\frac{12}{1}=25*4=100[/tex]
The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.
Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:
= 25/3 × √144
= 25/3 × 12/1
= 25 × 4
= 100
Therefore, the value is 100.
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i’ve tried multiple ways to answer this question, and i’m so stuck! :( could anyone help me please!
Answer:
160 ounces
Step-by-step explanation:
32 ounces x 5=160 ounces
h=(-5) answer needed now!!!!
Answer:
-2
Step-by-step explanation:
h(-5) represents the y value when x is -5.
Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?
Answer:
I'm not sure what your choices are or if you have any choices. Try y+ 1/2 = 3(x-2)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
on edg2021
If polygon COLD is congruent to polygon WARM and the area of polygon WARM is 28 square feet, what is the area of polygon COLD
Answer:
28 sqr feet.
Step-by-step explanation:
Congruent means equal to. So Cold = Warm for some given property (Area in this case).
28 ft^2 is the answer
If Connie deposits $100 into a savings account with a 3% annual interest rate and doesn't withdraw any of the money for 2 years, what will her balance be at the end of 2 years?
Answer:
The final amount/ her balance after two years is $106.09Step-by-step explanation:
We are going to assume that the balance compounds every year
applying the compound interest formula we have
[tex]A= P(1+r)^t[/tex]
where
A, final amount
P, Principal= $100
r, Rate= 3%= 0.03
T, time= 2years
substituting our values into the formula we have
[tex]A= 100(1+0.03)^2\\A=100(1.03)^2\\A=100*1.0609\\A=106.09\\[/tex]
The final amount/ her balance after two years is $106.09
2. Find the LCM of 3, 11, and 12.
O 396
0 264
O 132
O 33
Answer:
132
Step-by-step explanation:
3 x 44= 132
11 x 12 = 132
Answer:
C)132
Hope this helps
Explanation) LCM(3, 11, 12) = 132
Ash and Misty are both travelling by train. Ash's train travels 80 km in 50 minutes. Misty's train travels 160 km. It leaves at 12:35 and arrives at 15.05. Work out the difference, in km/h, between the average speed of their trains.
Answer:
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Step-by-step explanation:
For Ash's Train;
Distance travelled d1 = 80km
Time taken t1 = 50 minutes = 5/6 hour
Average speed = distance travelled/time taken
v1 = d1/t1
Substituting the values;
v1 = 80/(5/6)
v1 = 96km/h
For Misty's train;
Total distance travelled d2 = 160 km
Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes
t2 = 2.5 hours
v2 = d2/t2 = 160/2.5
v2 = 64 km/h
the difference, in km/h, between the average speed of their trains is;
∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Answer:
32km/h
Step-by-step explanation:
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
9 + 40h
9 + h + 40
9h + 40
9 + 40
Answer:
9h+40
Step-by-step explanation:
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.
So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.
(ps. this is my first answer, I apologise if Its not very detailed.)
The expressions best represent Jill's income for the week is 9h+40. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.
Her original 40$ and her 9$ from every hour can be written together as below:-
40 + 9h or 9h + 40.
Therefore, the expressions best represent Jill's income for the week is 9h+40. The correct option is C.
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Complete the square to rewrite y=x^2-6x+14 in vertex form. Then state whether the vertex is a maximum or minimum and give is coordinates. A. - Minimum at (3,5) B. - Minimum at (-3,5) C. - Maximum at (-3,5) D. - Maximum at (3,5)
Answer:
3,5, Minimum
Step-by-step explanation:
y=x²-6x+14
y=(x²-2*3x +3²-3²)+14
y=(x²-2*3x+3²)+14-9
y=(x-3)²+5
a=1
p=3
q=5
a>0 ⇒ vertex is minimum
V(p,q) ⇒ V(3;5)
Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 3. Answer pls its my h/w
Answer:
There are 6 * 6 = 36 total outcomes from throwing 2 dice. Of those, there is only 1 that will give you a sum less than 3 (1 + 1) so the answer is 1 / 36.
A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .
Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
[tex]y-(-2)=-12(x-3)[/tex] and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.