Answer:
4 b 2 + 2 b
Step-by-step explanation: hope it helps
50 point question. Please help my math grade is way to low
Answer:
1 1/2
Step-by-step explanation:
it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
A similar problem is given at https://brainly.com/question/24850750
Why does the slope intercept forumla use m and b.
Answer:
y=mx+b
Step-by-step explanation:
m=slope
b= y-intercept
what is The answer?
Answer:
134
Step-by-step explanation:
If you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6
Answer: Answer is B
Step-by-step explanation:
102.3 divided by 23.8 = 4.30 = 4
An item on the sale rack at a local supermarket was marked $3.42. The original price
of the item was $4.75.
What was the percent of the discount?
Answer:
The real answer would be 28%
Step-by-step explanation:
It's true!
Find the length of the third side. If necessary, write in simplest radical form.
A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps
Step-by-step explanation:
the circumference of a circle is
C = 2×pi×r
with r being the radius.
the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is
4×22 = 88 cm.
now, it is the same wire of the same length that is now forming a circle.
so, the circumference of the square is also the circumference of the circle.
therefore,
88 = 2×pi×r
44 = pi×r
r = 44/pi = 14.00563499... cm
so, rounded, radius = 14 cm.
Answer:
The other answer is correct
Step-by-step explanation:
The circumference of the circle and the square will be the same so you solve the equation
4*22 = 2 pi r where r is the radius.
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
To learn more about the volume;
https://brainly.com/question/23477586
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What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The answer to the equation is 48.
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the value of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
(4, -3); slope = -1
Answer:
y + 3 = - x + 4 or y = - x + 1Step-by-step explanation:
Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.
Use point-slope form:
y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4or
y = - x + 1Equation in point slope form
y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1The fraction 7/12 is found between which pair of numbers on a number line?
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
The sum of three consecutive numbers is 723. Find the numbers.
Answer:
240, 241, 242
Step-by-step explanation:
Use x, x+1, and x+2 to express the three consecutive numbers.
Set up an equation: x + x+1 + x+2 = 723.
Solve for x.
write an equation of the line slope intercept form that is parallel to Y= 1/2 X +3 and through the point (2, -1)
Answer:
y=1/2x
Step-by-step explanation:
I first did point-slope form which is
y+1=1/2(x-2)
Then, I converted it into slope-intercept form which is
y=1/2x
Use the graph to identify the following: end behavior. for a branlist
Answer:
the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity
Step-by-step explanation:
Anyone Please Help (for A Brainly )
Answer:
y < x + 1
Step-by-step explanation:
Put the answer in desmos graphing calculator
the answer is y ≤ x + 1
ok done. Thank to me :>
Select all of the expressions which are equivalent to-4/3p-2/5
Answer:
-2/5 -4/3 p and -4/3p+ (-2/5)
What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
Learn more about the equation of the circle here: brainly.com/question/1471134
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for a brainlist pls answer
+ accurate explanation
The answer is (-2, 1) Step-by-step explanation
Will give brainliest!
Answer:
[tex] \frac{1}{2} + \frac{5}{8} [/tex]
[tex] \frac{1 \times 4}{2 \times 4} + \frac{5}{8} [/tex]
[tex] \frac{4}{8} + \frac{5}{8} [/tex]
[tex] \frac{9}{8} [/tex]
[tex]1 \frac{1}{8} [/tex]
Answer:
all, but the bottom
Step-by-step explanation:
They all add up correctly but the one on the bottom makes no sense.---------------------------------------------------------------------------------------------------------------------------
divide 81 ft in the ratio 5 :4
Answer:
Rr = 51 : 68
Step-by-step explanation:
What is the base of the expression 6^-4?
Answer:
The 6 is the base of the expression
Step-by-step explanation:
The base number is the number in front of the exponent.
So [tex]6^{-4}[/tex] the 6 is the base of the expression
Thank you so much guys
Answer:
A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . please help
Find the area of the figure below.
Please help me with this I don’t understand it!
Answer:
ans :240 cm²
Step-by-step explanation:
see the pic
....ik its messy but hope u understand
and I hope the ans is correct
Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)
Answer:
D
Step-by-step explanation:
In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"
In A above, (3,-2), (2,-1), (3,4), (4,7)
There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.
B. (0, 4), (1, 2), (1, 0), (2, 3)
There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.
C. (2, 5), (3, 8), (4, 11), (4, 12)
4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.
D. (1, 7), (2, 5), (3, 6), (4, 1)
D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.
More reviewing purposes
Answer:
143
Step-by-step explanation:
BEDMAS = brackets, exponents, division, multiplication, substraction, addition.
you need to first do the exponents, then the multiplication, then the addition
exponents = 7² = 49
4 x 9 + 2 x7² + 9 = 4 x 9 + 2 x 49 + 9
multiplication = 4x9 = 36
36 + 98 + 9
addition = 36 + 98 = 134 and 134 + 9 = 143
you need to use the BEDMAS (order of opperation) to find the answer, it simplifies the answer and you can do it step by step. I bolded what you needed to use in this question, but you should use all of the ones that you can whenever you can.
good luck. :)
The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Use a graph to determine whether the cost is proportional to the number of lessons. Explain your reasoning.
Answer:
it is not proportional. when you graph it, you will see it is not linear.
Step-by-step explanation:
Answer:
not proportional
Step-by-step explanation:
A graph that’s proportional would have to be linear a straight line but that cannot happen since the numbers are proportional
Its constant of proportionality is 12 and 10 so it could not work.
Find the slope of the graph
a. -2
b. -1/2
c. 2
d. 1/2
I'll give correct answer brainliest
Answer:
answer is d
by using rise over run you get 3/6 which is then simplified into 1/2
Can you give me the answers for these four? It's passed due and I need to get it turned in ASAP! Please help!
Please help if you can! A photographer rented a booth at an art fair for $630. The photographer sold each photograph for $45 and made a total of $1,980 after paying for the booth. How many photographs did the photographer sell at the fair?
He needed to make a total of 1980 + 630 = $2610
$2610 / 45 = 58
Answer: 58
