suppose f(x)=33.3+1.4 log (x+1) models salinity of ocean water to depths of 1000 meters at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity to the nearest hundredth when the depth is 785 meters
If u get this question wrong u have to change your profile picture to Psyduck for 3 days and if u know the answer don't tell anyone but me((pm me)) because the answer is a secret.** If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles to 1 drink. If u bring 100 bottles to the shop. How many drinks will you get?
In the given scenario, 10 empty bottles are equivalent to one drink. So, with 100 bottles, you'd be able to exchange for 10 drinks.
Explanation:
The subject is mathematics, specifically a problem relating to division. The scenario describes a situation where 10 empty bottles can be exchanged for a single drink. If you have 100 bottles, you will be able to exchange these for drinks. To figure out how many drinks you would get, divide the total number of bottles by the number of bottles needed for one drink. So, 100 bottles divided by 10 bottles per drink equals 10 drinks.
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Find the future value and interest earned if $8904.56 is invested for 8 years at 6% compounded (a) semiannually and (b) continuously.
The Future value is $ 15162.80 and Interest is $6258.26
What is Future Value?The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Investors can make wise investment choices based on their projected demands by knowing the future worth. However, external economic forces that depreciate an asset's value, such inflation, might have a negative impact on the asset's future worth.
Given:
P = $8904.56
R= 6%
T= 9
n= 2
Now, Future Value = P [tex](1 + r/n)^ {(nt)}\\[/tex]
FV= 8904.56 [tex](1 + 0.06/2)^ {(2)(9)}\\[/tex]
FV = 8904. 56 [tex]( 1+ 0.03)^{18[/tex]
FV= 8904.56[tex](1.03)^{18}[/tex]
FV = $15162.80
And Interest = FV - P
Interest = 15162. 80 - 8906.4
Interest = $6258.26
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the speed of the stream is 4 mph. a boat travels 4 miles upstream in the same time it takes to travel 12 miles downstream. what is the speed of the boat in still water?
1 millimeter on the map represents 1 meter on the ground. What is the ratio
Sherry had an ending balance of $125.36, outstanding deposits of $153.53, and outstanding checks of $100.19. What was her checkbook balance?
Answer: $178.70
Step-by-step explanation: $125.36 + $153.53 = $278.89
$278.89 - $100.19 = $178.70
1. The purpose of this exercise is to provide practice using the LINGO or Excel solvers. Find the values of X and Y that minimize the function
Min X 2 - 4X + Y 2 + 8Y + 20
Do not assume nonnegativity of the X and Y variables. Recall that by default LINGO assumes nonnegative variables. In order to allow the variables to take on negative values you can add
@FREE(X); @FREE(Y);
Alternatively, if you want LINGO to allow for negative values by default, in the LINGO menu select Options and then click General Solver, and then uncheck the Variables assumed nonnegative tab.
Kohl's sells casual shirts for $9 and Poles shirts for $18. Total sales $1080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did kohl sells?
What is -2 3/10 as a improper fraction?.
Suppose a carpet for an 8ft by 12 ft room cost $500. How much would an 16 ft by 24ft cost
To determine the cost of carpeting for a room that is twice the length and width of another, calculate the cost per square foot of the smaller room and then multiply that by the area of the larger room.
Explanation:The question is asking how much a carpet would cost for a room that is twice as long and twice as wide as an 8 ft by 12 ft room, given that the carpet for the smaller room costs $500.
To solve this, we first find the area of the smaller room, which is 8 ft multiplied by 12 ft, resulting in an area of 96 square feet.
The cost per square foot for the carpet is then $500 divided by 96 square feet, which equals approximately $5.21 per square foot.
Next, we calculate the area of the larger room.
Since both dimensions are doubled, the area will be 16 ft by 24 ft, which equals 384 square feet.
To find the cost for the larger room's carpet, we multiply the area of the larger room by the cost per square foot previously calculated.
Therefore, 384 square feet multiplied by $5.21 per square foot results in a cost of approximately $2,000 for the larger carpet.
21/24 reduced fraction
You are building a chair. The plans call for 1/2 inch nails. Your nails are 3/4 inch long. Are your nails too long are too short
The plans call for 1/2 inch nails, but the nails you have are 3/4 inch. Therefore, your nails are too long.
Explanation:The chair plans call for 1/2 inch nails, but the nails you have are 3/4 inch long. When comparing these lengths, you can see that 3/4 is greater than 1/2. Therefore, your nails are too long for what the plans call for.
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how do you turn a fraction into a whole number
if N/8+6=58, then N equals?
if 2x -3 = 5 then x = ?
Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 5 or a queen?
Using the probability concept, it is found that there is a 0.1538 = 15.38% probability of drawing a 5 or a queen.
A probability is the number of desired outcomes divided by the number of total outcomes, hence:
[tex]p = \frac{D}{T}[/tex]
In this problem:
In a standard deck, there are four 5s and also four queens, hence [tex]D = 4 + 4 = 8[/tex].In total, there are 52 cards, hence [tex]T = 52[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{8}{52} = 0.1538[/tex]
0.1538 = 15.38% probability of drawing a 5 or a queen.
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"lucy owns a bakery in 2006 she sold pies for $9.50 each in 2010 she sold pies for $17.50. Find the rate of change for the price of a pie from 2006 to 2010"
Applying it's concept, it is found that the rate of change for the price of a pie from 2006 to 2010 is of $2 a year.
What is the rate of change?It is given by the change in the output divided by the change in the input.
In this problem, in 4 years, from 2006 to 2010, the price increased $8, from $9.50 to $17.50. Hence, the rate of change is given by:
r = 8/4 = 2.
Thus, the rate of change for the price of a pie from 2006 to 2010 is of $2 a year.
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The temperature decreased overnight by 15.2°C to a temperature of –12.8°C. Suppose t represents the temperature before it decreased.
Which equation can be used to represent this situation?
A.
t – 15.2 = –12.8
B.
t + 12.8 = –15.2
C.
t – 12.8 = 15.2
D.
t – (–15.2) = –12.8
Answer:
12.8
Step-by-step explanation:
Estimate each Quotient
1) 59,628 divide by 73
2) 361,245 divide by 58
3) 104,392 divide by 64
REALLY NEED IT! Thanks ;) also pls show work
a stereo is marked down $75. If this is a 15% decrease find the sale price. How do you work this problem out?
Answer:
The selling price is $425.
Step-by-step explanation:
Given information:
Marked down price = $75
15% decrease = $75
Let x be the market price.
[tex]x\times \frac{15}{100}=75[/tex]
[tex]0.15x=75[/tex]
Divide both sides by 0.15.
[tex]x=500[/tex]
The market price is $500.
Selling price = Market price - Marked down
Selling price = $500 - $75
Selling price = $425
Therefore, the selling price is $425.
Factor out the GCF from each term in the expression
3. 30w5 + 25w3
4. 3x(7x + 1) – 2(7x + 1)
what is 3400 as a decimal answer asap
My bathroom floor measures 3 feet by 3 feet. I can choose between a ceramic tile floor costing $3.75 per square foot or linoleum costing $32.99 per square yard. Which is cheaper, ceramic title floor or linoleum floor?
After calculating the total costs, linoleum flooring for a 3 feet by 3 feet bathroom floor is cheaper at $32.99 compared to ceramic tile flooring which costs $33.75.
The student's question is about comparing the costs of two different types of flooring options: ceramic tile and linoleum. To determine which is cheaper, we need to calculate the total cost of each option for a bathroom floor that measures 3 feet by 3 feet.
First, for the ceramic tile option, we can calculate the area of the bathroom floor (which is length times width), giving us 3 feet × 3 feet = 9 square feet. Next, we multiply the area by the cost per square foot of the ceramic tile: 9 square feet × $3.75 per square foot = $33.75.
For the linoleum option, we need to convert the area of the floor from square feet to square yards because the linoleum is sold by the square yard. There are 9 square feet in a square yard, so the floor area in square yards is 9 square feet ÷ 9 square feet per square yard = 1 square yard. Therefore, the total cost for linoleum would be 1 square yard × $32.99 per square yard = $32.99.
Comparing the two totals, we can see that the cost of linoleum at $32.99 is cheaper than the ceramic tile option which costs $33.75.
Two accounts each begin with a deposit of $5000. Both accounts have rates of 5.7%, but one account compounds interest once a year while the other account compounds interest continuously. Show the amount in each account and the interest earned after one year, five years, ten years, and 20 years.
An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be done?
In a fraternity with 37 members,18 take math 5 take both math and chemistry and 8 take neither math nor chemistry. How many take chemistry but not math
Answer:
its 11 members
Step-by-step explanation:
Population of the world was 5.7 billion in 1995 and the observed growth rate was 2% per year. By what year will the population triple?
A researcher is studying the effects of caffine on exam scores of college students. In this study what would be the population and sample of this research?
There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits.
How many hits did the school’s website have during both months?
0.04 divided by 1.68