Answer: x = 48 minutes
Step-by-step explanation:
15 miles/72 min = 0.208 miles/min
(0.208 miles/min)x = 10 miles
x = 48 minutes
the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?
If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.
Given the following data:
Interest rate = 12%Simple interest = Php 23600Time = 18 monthsConversion:
12 months = 1 year
18 months = 1.5 year
To calculate the principal amount if the interest rate is 12% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]
Principal amount, P = Php 131,111.11
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guys is there a way to change your age on brainly i pressed the wrong age and now brainly thinks im in high school when im in middle school.
also solve this problem so i can put it under math.
what is 176x 1,789
Answer:
i dont think so...
Step-by-step explanation:
314864
Answer:
314,864 is the product.
Step-by-step explanation:
176 x 1,789= 314,864
It takes Billy 40 minutes to drive to his friend's house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friend's house. How far does his friend live?
Answer:
20 miles
Step-by-step explanation:
Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750. How many weeks will Millie's balance remain above $750?
Millie's account balance will remain above $750 area weeks.
Fewer than 9
At least 9
Greater than 9
Answer:
Step-by-step explanation:
AT LEAST 9
Millie's account will be above $750 for weeks greater than 9.
What is inequalities?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.
Establishing an inequality,
750 > 1497 - 83x
Where, x is the number of weeks.
On solving, we get,
747 > 83x
x < 9
Hence, Millie's account will be above $750 for weeks greater than 9.
For more references on inequalities, click;
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Which product is negative?
−2⋅(−4)⋅8⋅(−1)
−7⋅(−3)⋅(−5)⋅(−8)
−3⋅(−4)⋅(−9)⋅0
6⋅(−2)⋅(−3)⋅1
[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]
Solve for (x)
I need help with 10(b)
Please
Answer:
x = 4
Step-by-step explanation:
(b)
[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 1) = 30 - 3x , distribute parenthesis on left side
4x + 2 = 30 - 3x ( add 3x to both sides )
7x + 2 = 30 ( subtract 2 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
What is the value of x?
Step-by-step explanation:
19x - 4 = 110 ( alternate Exterior angle )
→ 19x = 110 + 4 = 114
→ x = 114/19
→ x = 6
therefore, value of x is 6°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Solve 2^2x-3 = 128. X =
Answer:
x=131/4
Step-by-step explanation:
p=5(q-2r)/r
solve for r
Answer:
r = 5q / (p + 10)
Step-by-step explanation:
p = 5(q - 2r)/r
multiply both sides by r
pr = 5(q - 2r)
distribute
pr = 5q - 10r
add 10r to both sides
pr + 10r = 5q
Factor out r
r(p + 10) = 5q
divide both sides by p + 10
r = 5q / (p + 10)
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 69 stocks traded on the NYSE that day showed that 31 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α = 0.05 α = 0.05 . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α α greater than α α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. The sample data support the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3.
Testing the hypothesis, it is found that:
The test statistic is 2.71.The p-value is 0.0034.The p-value is less than [tex]\alpha[/tex]The test statistic leads to a decision to reject the null hypothesis.The sample data support the claim that the proportion of stocks that went up is more than 0.3.At the null hypothesis, we test if the proportion of stocks that went up is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 0.3, that is:
[tex]H_1: p > 0.3[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.3, n = 69, \overline{p} = \frac{31}{69} = 0.4493[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4493 - 0.3}{\sqrt{\frac{0.3(0.7)}{69}}}[/tex]
[tex]z = 2.71[/tex]
The test statistic is 2.71.
The p-value is the probability of finding a sample proportion of 0.4493 or above, hence, it is 1 subtracted by the p-value of z = 2.71.
Looking at the z-table, z = 2.71 has a p-value of 0.9966.
1 - 0.9966 = 0.0034
The p-value is 0.0034.
Which is less than [tex]\alpha[/tex], and then the test statistic leads to a decision to reject the null hypothesis, and thus:
The sample data support the claim that the proportion of stocks that went up is more than 0.3.
A similar problem is given at https://brainly.com/question/25413788
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.
a.
The y-coordinate of the vector with its terminal point in the second quadrant is 6.
The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.
Since r = √61 and r = √(x² + y²)
Making y subject of the formula, we have
y = √(r² - x²)
Substituting the values of the variables into the equation, we have
y = √((√61)² - (-5)²)
y = √(61 - 25)
y = ±√36
y = ±6
Since r is in the second quadrant, its y-coordinate is positive.
So, y = 6
So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.
b.
The direction angle of the vector with its terminal point in the second quadrant is 130°
The direction angle of the vector is gotten from tanФ = y/x
Subsstituting x and y into the equation, we have
tanФ = y/x
tanФ = 6/-5
tanФ = -1.2
tan(180° - Ф) = 1.2
Taking inverse tan of both sides, we have
180° - Ф = tan⁻¹(1.2)
180° - Ф = 50.2°
Ф = 180° - 50.2°
Ф = 129.8°
Ф ≅ 130° to the neares whole number
The direction angle of the vector with its terminal point in the second quadrant is 130°.
Learn more about vectors here:
https://brainly.com/question/18478651
Answer:
first one is 6.0 and the second is 130
Step-by-step explanation:
(4/x–3) + (2/x+2) = 0
please I need answers asap
Answer:
X= 6
Step-by-step explanation:
Answer:
X = 6
Step-by-step explanation:
(4/x - 3) + (2/x + 2) = 0
--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
4+x(−3)+2+x×2=0
--> Add 4 and 2 to get 6.
6+x(−3)+x×2=0
--> Combine x(−3) and x×2 to get −x.
6−x=0
--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.
−x=−6
--> Multiply both sides by −1.
Thus, the answer is X =6
Hope this helps you!
The measure of side c is 135 inches and
the measure of side a is 55 inches. What is
the length of side b?
Answer:
The length of side b is 80.
You can buy laundry product in a 28-ounce bottle for $6.44 or in a 24-ounce bottle for $4.80.
Answer:
what is the question
Step-by-step explanation:
tell me the question
Slippery Slope
Two professional downhill skiers are going to begin a race. The skiers agree that Skier 1 is
slightly faster than Skier 2 so they decide that Skier 2 will get a 5 second head start to make the
race more competitive. Skier 1 skies at an average speed of 110 feet per second and Skier 2
skies at an average speed of 100 feet per second.
Who will win the race if the course is 5000 feet long?
Answer:
It would be a tie
Step-by-step explanation:
Skeir 1 in 5000 feet would go 45 seconds.
Skier 2 in 5000 feet would go 50 seconds
If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.
need help with 7 urgently!!!
Answer:
1x
Step-by-step explanation:
What does the rational form of the ratio a:b look like?
The rational form of a ratio is the ratio represented as a fraction (or quotient)
The rational form of the ratio a : b is a/b
The ratio is given as a : b (pronounced a ratio b)
This is properly represented as:
[tex]\mathbf{Ratio = a : b}[/tex]
To convert to rational form, means that we express the ratio as a fraction.
So, the ratio becomes
[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)
Hence, the rational form of the ratio a : b is a/b
Read more about rational forms at:
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can someone give me the answer and please explain this to me because i really don't understand what this means at all, I need someone to help me with this because i'm going to be asking multiple of these questions. So if u have friends or family who know this answer then please tell/ask them these questions so they can help understand fractions. Not asking in a mean way i am just really cuious because i never learned how to do this so just let your family / or friends know what these answers are to all of the questions that i am going to ask about fractions because these are really hard for me!
Step-by-step explanation:
the one is the middle top the one in the middle bottom and the one in the bottom right
Someone plz help me :(
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
How do I find x in this problem, x/5-2/3=3/2
Answer:
x = 38/6
Step-by-step explanation:
x/5 - 2/3 = 3/2
3x - 2x5/3x2 = 3/2
3x-10/6 = 3/2
2(3x-10) = 3x6
6x-20 = 18
6x = 18+20
6x =38
x =38/6 or x = 6.33
6(3x-1-2x)=(2x-5-8)
determina el conjunto de la ecuacion lineal
6(3x-1-2x)=(2x-5-8)
Expand expression 1 : 18x-6-12x
18x-6-12x=2x-5-8
Collect like terms
18x-12x-2x= -5-8+6
4x= -7
x= -4/7
plzzzz help me!!!
Plz don't steal my points or add a link
Answer: What do you mean? if you till me i can help you
Step-by-step explanation:
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answer:
x=-2/3
Step-by-step explanation:
Plss Help Due Tomorrow Give Brainliset
Answer:
1=137 2=43 3=137 4=43 5=137 6=43
Step-by-step explanation:
What is -x-y=5 in function form solving for y
Answer:
f(x) = - x - 5
Step-by-step explanation:
- x - y = 5 ( multiply through by - 1 )
x + y = - 5 ( subtract x from both sides )
y = - x - 5 , that is
f(x) = - x - 5
what is halfway between 140,000 and 150,000
Answer:
145000
Step-by-step explanation:
(150000-140000)÷2=10000÷2
=5000
140000+5000=145000
Answer:
145,000
Step-by-step explanation:
To find halfway between two numbers is the same as finding the mean of two numbers.
140,000+150,000=290,000
290,000/2
=145,000
Hope this helps :)
The length of each of two sides of a triangle is The third side's length is 15sqrt(2) . Classify the triangle
Answer:
45-45-90 isosceles triangle
Step-by-step explanation:
(ASAP) i also need help with this plss
Answer:
The right answer is 32
Step-by-step explanation:
3/4 × 32 = 24
Answer:
18
Step-by-step explanation:
divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18
Find the perimeter. Simplify your answer.
add all the sides!
[side one] + [side two] + [side three]
[7y + 10] + [7y + 10] + [y - 4]
= 14y + 20 + y - 4
= 15y + 16
hope this helps :) !!
Answer:
15y + 16
Step-by-step explanation:
2(7y + 10) + y - 4
14y + 16 + y
15y + 16