Answer:
The simple interest was found to be $9.6 after 1 year at 3%
Step-by-step explanation:
Given that
principal p= $350
rate r= 3%= 3/100= 0.03
time t= 1 year
The expression for the simple interest is given as
SI= p*r*t
SI= 320*0.03*1
SI= $9.6
After 1 year at 3% the simple interest is $9.6
Simply put the extra money earned after an investment is called the simple interest
Express the following expression in the form of a + bi: (39 + 34i) + (76 + 89i) - (47 +26i).
Answer:
68+97i
Step-by-step explanation:
work shown and pictured
Answer:
68+97i
Step-by-step explanation:
(39 + 34i) + (76 + 89i) - (47 +26i).
Distribute the minus sign
(39 + 34i) + (76 + 89i) + (-47 -26i)
Combine like terms
(39+76-47)+(34i+89i-26i)
68+97i
50. Error Analysis for each of the past four years, Paulo has grown 2 in. every year, He is now 16 years old and is 5 ft 10 in. tall. He figures that when he is 22 years old he will be 6 ft 10 in. tall. What would you tell Paulo about his conjecture?
Answer:
I'd say that it's a good start, but he is assuming that his rate of growth will remain the same.
Since there are relatively few people 6'10" tall, it's likely that his extrapolation is too high.
Maybe if he could study the growth rates and heights at various ages of people who did achieve 6'10" height, he would have a sounder basis for his theory.
Find the length of segment AB. (Find the distance between the two points). A(-3,5) B(0,1)
Answer:
5
Step-by-step explanation:
The formula is [tex]\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2}})^{2} }[/tex]
[tex]x_{1}[/tex]=-3 [tex]x_{2}[/tex]=0
[tex]y_{1}[/tex]=5 [tex]y_{2}[/tex]=1
[tex]x_{1}- x_{2}[/tex]=-3
[tex]y_{1}- y_{2}=4[/tex]
Therefore: [tex]\sqrt{(-3)^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex]
The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38. a.1.83 b.1.49 c.1.66 d.1.96
Answer:
[tex]z = 1.66[/tex]
Step-by-step explanation:
Given
Mean = 4.68
Standard Deviation (SD) = 2.83
Value, x = 9.38
Required
Determine the z score
z score is calculated using the following formula;
[tex]z = \frac{x - Mean}{SD}[/tex]
Substitute 9.38 for x; 2.83 for SD and 4.68 for Mean
[tex]z = \frac{9.38 - 4.68}{2.83}[/tex]
[tex]z = \frac{4.7}{2.83}[/tex]
[tex]z = 1.66[/tex] (Approximated)
Hence, the z score is 1.66
-7/10 is at least twice a number k minus 4. Write an inequality.
Answer:
-7/10 >= 2k - 4
Step-by-step explanation:
For this problem, we can simply follow the wording to write the inequality.
-7/10 is at least twice a number k minus 4
-7/10 >= 2k - 4
We use >= since is says at least, meaning it could be equal or greater than
We multiply k by 2 since it states the number is twice k
And we subtract 4 from the 2k since the number is "minus 4" from the twice k.
Thus, we have our inequality, -7/10 >= 2k - 4.
Cheers.
The cost of renting a car is $75/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y = 75 + 0.25x, where x is the number of miles traveled. If your cost was $96.25, how many miles were you charged for traveling?
Answer:
We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:
[tex]C = 75 + 0.25x[/tex]
As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.
The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:
[tex]96.25=75+0.25x[/tex]
[tex]96.25-75=0.25x[/tex]
[tex]21.25=0.25x[/tex]
[tex]\frac{21.25}{0.25} = x[/tex]
[tex]85 = x[/tex]
We hve traveled 85 miles.
maths:Mr John thinks of a number he double it he' result is 58 what is Mr John number
Answer:
Let x the number Mr John thinks
He double it so 2×x=2x ( double = multiplying by 2 )
The result is 58
So 2x=58
We solve the equation
2x=58
So x =58/2
x=19
So it's 19 the number Mr John thinks
The lunch special at Karen’s restaurant is a sandwich, a drink and a dessert. THERE ARE 2 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?
Answer:
There are 8 possible combinations.
Look at this example:
2 sandwiches: PB&J, turkey sandwich
4 drinks: soda, water, lemonade, tea
1 dessert: cake
all 8 combos:
PB&J, soda, cakePB&J, water, cakePB&J, lemonade, cakePB&J, tea, caketurkey sandwich, soda, caketurkey sandwich, water, caketurkey sandwich, lemonade, caketurkey sandwich, tea, cakehope this helps
Can somebody help me with the first set please you have to match it
Answer:
they are in the link. i answered each on in the same order they are in the picture soooo here u are.
0.28
x 0.86
it’s no answer choices ;((
Answer:
Hey there!
0.28 times 0.86 is equal to 0.2408
Let me know if this helps :)
Which expressions are equal to 0 when x = –1? Check all that apply.
Answer: ACE
Step-by-step explanation:
The expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
First,
[tex]=\rm \dfrac{4\left(x+1\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Second,
[tex]= \rm \dfrac{4\left(x-1\right)}{5-4x}[/tex]
Plug x = -1
= -8/9
Third,
[tex]\rm \dfrac{4\left(x-\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Fourth,
[tex]\rm \dfrac{4\left(x+\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value does not become zero.
Fifth,
[tex]\rm \dfrac{4\left(x+1\right)}{5-4x}[/tex]
Plug x = -1
The expression value becomes zero.
Thus, the expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
Learn more about the expression here:
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HELP!!! MATH!!! PLEASE HELP PLEASE!!! Determine the answer to 3 + (−5) and explain the steps using a number line. (5 points)
Answer:
3+(-5) = -2
Step-by-step explanation:
If you were at 3 in the number line then went back 5 spaces (which represents -5) it would be -2
Among all pairs of numbers with a sum of 149149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Correct question is;
Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms
Answer:
The pair whose product is maximum is 149/2 and 149/2
Step-by-step explanation:
We are told that pair of number with sum as 149 and to find the product that is maximum.
Now,let x and y be the numbers. Thus;
x + y = 149 and xy is maximum.
So, y = 149 - x
Thus, plugging 149 - x for y into the product equation gives; x(149 - x). This can be expanded to be -x² + 149x.
Using method of completing the square, we will arrive at;
-(x² - 149x) = -(x² -149x + (149/2)²) + (149/2)² = (149/2)² - (x - (149/2))²
Now, the expression gotten will have a maximum of (149/2)² when (x - (149/2))² has its minimum value of zero. This means that when x = 149/2, as x moves away from 149/2, (149/2)² would be reduced by the square of the difference between the value of x and 149/2, and the square would always be positive.
Thus, the maximum product in it's simplest form is x = y = 149/2
PLEASE HELPPPPP ASAPPPPPP
Answer:
2208
Step-by-step explanation:
So first we can write this as 4(500+50+2)
Then we distribute it 4*500+4*50+4*2
Multiply to get 2000+200+8
So the answer is 2208
if a family has 7 children, what is the interval within which the "number of children they have really falls"
Answer:
Step-by-step explanation:
If a family has 7 children, what is the interval within which "the number of children they have" really falls.
Now, number of children is a discrete variable, not a continuous one.
You are sure that the family has 7 children because the question states that.
The true interval within which the number of children they have falls is (0 - 8)
Lynne was making cookies and she
wanted to double the recipe. If the
recipe requires 2 cups of flour, how
much flour will Lynne need?
Answer:
4 cups of flour
Step-by-step explanation:
We just need to double 2. The phrase "double" means to multiply by 2 so the answer is 2 * 2 = 4 cups of flour.
Describe a pattern in the sequence of numbers. Predict the next number.
1. 256, 64, 16, 4, ...
2. 2, 6, 18, 54, ...
Answer:
Pattern = Start at 256 and divide by 4 each time. Next number = 1.Pattern = Start at 2 multiply by 3 each time. Next number = 162In the first sequence, the next term here is 1. In the second sequence; the next term is 162.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
In the first sequence, 256, 64, 16, 4, ...
Consider ratio of the next term with its preceding term, so we will get the common ratio;
4/ 16 = 1/4
So, we can see that the next term of the sequence is 1/4 times the previous term.
Hence, the unknown term will be; 1/4 times of previous term.
That is , 1/4 × 4 = 1
Therefore, the next term here is 1
In the second sequence; 2, 6, 18, 54, ...
Do the same procedure as above, we will get the common ratio as :
54 / 18 = 3
Thus, the next term is 3 times the preceding term, that is :
3 × 54 = 162
Hence, the next term is 162
Learn more about arithmetic sequence here:
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PLEASE HELP ILL PICK YOUR ANSWER AS THE BRAINLIEST FOR POINTS! Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability? * 1 point He could use 20 different coins and flip each coin once. He could use 10 different coins and flip each coin twice. He could flip the coin only 2 times. He could flip the coin 100 times.
Answer:
the first one im pretty sure
Step-by-step explanation:
Answer:
The First one is correct im pretty sure.
A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?
Answer:
15 years
Step-by-step explanation:
Given:
Number of trees = 167This year limit = 4 treesYearly limit following years = 6 trees per yearTarget number of trees = 50Building inequality:
167 - 4 - 8x < 508x > 113x > 113/8x > 14.125Adding current year to 14 we get 15 years as answer
8y=(5y+24) find the value of y
[tex]8y=5y+24[/tex] collect like-terms
[tex]8y-5y=24[/tex] subtract
[tex]3y=24[/tex] now divide
[tex]y = \frac{24}{3}\\[/tex]
[tex]y=8[/tex]
plug in the value of [tex]y[/tex] to check if the answer is correct:
[tex]8y=5y+24\\8(8)=5(8)+24\\64=40+24\\64=64[/tex]
ergo, [tex]y = 8[/tex]
Refer to the figure below. (Remember: The sum of the thre
Find a if A = 75°.
Answer:
15°
Step-by-step explanation:
The sum of three interior angles in a triangle is 180.
180-90-75=15°
PLS HELP FOR BRAINLIEST ANSWER
Answer:
Point C which is 1.
Step-by-step explanation:
A = -6
E = 8
M = (A + E)/2
M = (-6 + 8)/2 = 2/2 = 1
The midpoint is 1 which is point C.
Hi, what is the answer to 4 • 7 – 62 ÷ 3
Answer:
22/3
Step-by-step explanation:
[tex]4\times\:7-\frac{62}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:7=28\\=28-\frac{62}{3}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:28=\frac{28\times\:3}{3}\\=\frac{28\times\:3}{3}-\frac{62}{3}\\\\=\frac{28\times\:3-62}{3}\\\\28\times\:3-62=22\\\\=\frac{22}{3}[/tex]
1/2(30)-(40) this is on integers math maze freebie to search up
Answer:
hey thanks for ur points too
Step-by-step explanation:
midpoint (-4.-27), endpoint (-5, -19)
Answer:
(-3,-35), and the slope is -8/1
Step-by-step explanation:
If you're trying to find the other endpoint, that's it, and the slope is -8/1
red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).
Answer:
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
Y= 357 tiles
X= 68 tiles
Step-by-step explanation:
red and blue ceramic tiles are laid according to a pattern.
The pattern= every 21 red tiles used, 4 blue tiles are used
Total number of tiles used = 425 tiles
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
21x= 4y
X= 4y/21
X+y= 425
4y/21 + y = 425
25y= 425(21)
Y=( 425*21)/25
Y= 357 tiles
X= 4y/21
X= (4*357)/21
X= 1428/21
X= 68 tiles
Using proportions, it is found that there are 68 blue tiles.
This question is solved by proportions, using a rule of three.For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?The rule of three is:
4 blue - 25 total
x blue - 425 total
Applying cross multiplication:
[tex]25x = 4(425)[/tex]
[tex]x = \frac{4(425)}{25}[/tex]
[tex]x = 68[/tex]
There are 68 blue tiles.
To learn more about proportions, you can check https://brainly.com/question/24372153
4. Write a verbal expression for 6g^2/5
Answer:
the product of 6 and a squared number divided by 5Step-by-step explanation:
3
En el numeral 341, 427,538 ¿Cuál dígito está
en el lugar de la centena de
millón? *
(1 Punto)
O A. 2
B. 7
O
C, 4
O
D. 3
Answer:
The answer is D. 3
Step-by-step explanation:
A number refers to the expression of a quantity or a magnitude. In mathematics, a number represents a fixed quantity of something or generally of a number system.
The numbers have a fixed order that determines their value.
The numbers are in order of:
Unit = 8
Ten = 3
Hundred = 5
Unit of thousand = 7
Ten thousand = 2
Hundred thousand = 4
Million unit = 1
10 million = 4
And a hundred million represented by = 3.
Mark is a nurse anesthetist. He administers medication that puts people to sleep for surgeries and other invasive medical procedures. For healthy adults, the manufacturer recommends using a dose of 0.6mcg/kg, which means that Mark must give his patients 0.6mcg of medication for each kg they weight. If Mark's patient weights 60kg, how much medication should he administer?
Answer:
Quantity of medicine provide to patient = 36 mcg
Step-by-step explanation:
Given:
Quantity recommend = 0.6 mcg / kg
Weight of patient = 60 kg
Find:
Quantity of medicine provide to patient
Computation:
Quantity of medicine provide to patient = Weight of patient × Quantity recommend
Quantity of medicine provide to patient = 60 × 0.6
Quantity of medicine provide to patient = 36 mcg
Use set notation to list all the elements of the set. The natural number less than 37 that are divisible by 5.
Answer:
{5, 10, 15, 20, 25, 30, 35}
Step-by-step explanation:
The set can be listed (rostered). When it is, it will be ...
{5, 10, 15, 20, 25, 30, 35}
__
Set notation can also be used to describe the set as being a natural number less than 37 and divisible by 5:
[tex]\{n\in\mathbb{N}:(n<37)\land(n\mod{5}=0)\}[/tex]