Caleb is going to invest in an account paying an interest rate of 6% compounded daily. How much would Caleb need to invest, to the nearest cent, for the value of the account to reach $1,900 in 5 years?

Answer:

Step-by-step explanation:

2(x + 3)=5x + 6 - 3x true or never true?

2(x + 3)=5x + 6 - 3x

2x + 6 = 2x + 6

2x - 2x = 6 - 6

0 = 0

The model that shows 5 * 3/5 = 3 can be shown by sketching the boxes and shading the given parts.

The model of multiplication is a visual representation used to show multiplication without algebraic calculation. The model includes boxes and squares to indicate the multiplication.

Draw 3 boxes to represent 3 groups, and then place 8 in each box to represent 8 things in each group in order to multiply 3 by 8. There are several methods to draw this model.

We deduced from the model that the unknown value (?) may be determined by dividing the number of boxes (three, which stand for three groups) by the eight items.

Learn more about model multiplication here:

https://brainly.com/question/1928793

#SPJ1

Mathematics focuses on geometry, numbers, and form. For such, axioms and definitions are needed to describe the study's subjects. On the basis of those definitions and axioms, properties are proved using logic.

Mathematical logic help you in using a phone, sending a fax, or operating a vehicle and many other things.

Logic models are composed of mathematical constructs. When it comes to supporting its conclusions, mathematics employs logic. The "science" of reasoning is logic. It deals with arguments, hence learning what constitutes a strong argument is a need for becoming a logician.

Logic can also be applied in everyday conversation about non-mathematical subjects. The amount of reasoning required is typically much more for mathematical inquiries than for non-mathematical ones.

Therefore, logic is a technique that mathematicians (as well as other individuals) employ when it comes to supporting their claims. Proof involves logic.

Mathematical logic has a direct impact on our daily life now more than ever. I'm not only referring to the marks pupils receive or the number of required mathematical subjects. I'm referring to using a phone, sending a fax, or operating a vehicle. I'm referring to making a home, purchasing medication for your family, and enjoying music.

To learn more about mathematical logic in daily life link is here

brainly.com/question/28052598

#SPJ4

The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

What is the empirical rule?

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.

As we know from the empirical rule:

It is the rule of 68-95-99.7.

From the data given in the question: The height of a large population of ostriches is normally distributed.

X ~ (u, б²)

Normal distribution.

P{u - 3б < X < u + 3б}

From the distribution table:

P{u - 3б < X < u + 3б} = 99.7%

Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

Learn more about height here:

brainly.com/question/5440679

#SPJ4

The property of real numbers illustrated by the equation -2(x+4)=-2x-8 is option C: Distributive property.

What is Distributive property?

The distributive law of multiplication and addition and subtraction is another name for the distributive property. By its very name, the procedure implies that something will be divided or distributed.

The given equation is -2(x+4)=-2x-8.

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.

In the equation it can be clearly seen that the form is distributive form as -

A = -2

B = x

C = 4

Therefore, the equation uses distributive property.

To learn more about Distributive property from the given link

https://brainly.com/question/2807928

#SPJ1

Class limits indicate the largest and smallest data values that can be included in the class. Class limits are referred to actual data values. On the other hand, class boundaries give values that remove gaps between the classes in the frequency distribution. Class boundaries are considered to be one decimal place more accurate in comparison to the data. Options A, B, D, and F correctly describe differences between a class boundary and a class limit.

Following are the potential differences between a class boundary and a class limit.

You can learn more about class boundary and a class limit at

https://brainly.com/question/13646092

#SPJ4

Answer: 148

Step-by-step explanation: To find the surface area, add up all the side areas. Since we know that the opposite side of one side is the same, we can do 2(4 *5) + 2(6*5) + 2(4*6). This will get 148.

If 15% of adults in a certain country work from home, then probability that fewer than 42 out of a random sample of 350 adults will work from home is 0.05 .

the percent of students that work from home is (p) = 15% = 0.15  ;

the number of adults in the sample is (n) = 350  ;

to find the probability , we first need to find the mean and standard deviation ;

So , mean [tex](\mu)[/tex] = [tex]n\times p = 350\times 0.15 = 52.5[/tex] ;

and Standard Deviation[tex](\sigma)[/tex] = [tex]\sqrt{np(1-p)} = \sqrt{3550\times 0.15 \times 0.85} = 6.68[/tex] ;

We need to calculate the probability that fewer than 42 out of a random sample of 350 adults will work from home ,

which means ; [tex]P(X < 42-0.5) = P(X < 41.5)[/tex] ,

So , the probability will be the p value of Z when x= 41.5 ;

we know that ; [tex]z= \frac{X-\mu}{\sigma}[/tex] ;

substituting the values of mean and standard deviation ;

⇒ [tex]Z = \frac{41.5-52.5}{6.68}[/tex] ;

On solving ,

we get ;

⇒ [tex]Z = -1.65 ;[/tex] and the p value at z = -1.65 is 0.05 .

Therefore , the required probability is 0.05 or 5% .

Learn more about Probability here

https://brainly.com/question/19054425

#SPJ4

The statement 2 is true i.e. He  is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be root multiplicities or complex.

Understanding the fundamental theorem of algebra, the number of roots of a polynomial equation must be equal to the degree of the equation. While been given any polynomial in factored form, we must expand the parentheses to find the highest-degree term.

For the equation  provided, simplified form could be x⁵ + 2x² = 0, and as looking at this polynomial and graphing it, it is evident that the total roots or solutions is equal to the highest exponent of the term x which is 5. Hence, Josh makes an incorrect statement.

The multiplicity of a root is the number of occurrences of the said root in the entire complete factorization of the polynomial, as by the means of the fundamental theorem of algebra. The root multiplicities are thus the repeated roots as involved in the full factorization process of a single equation of a polynomial.

Learn more about  root multiplicities here:

https://brainly.com/question/29202148

#SPJ4

The correct question is:

Josh graphs a system of equations to determine the roots of the polynomial equation x⁵ = -2x²  . From the graph, he determines that there are two solutions to the equation. Which statement is true?

This is an example of a triangle with two missing sides.

To learn more about trigonometry refer to:

https://brainly.com/question/24349828

#SPJ1

Answer:

Step-by-step explanation:

ask if you don't understand my answer

Answer:

Shaded area = 42.1 cm^2

Shaded perimeter = 44 cm

Step-by-step explanation:

See the attached worksheet.  The approach is the subtract the 4 semicircle areas from the total quare area to obtain the area of the shaded region.  The perimeter is calculated by the perimeter of one complete circle.  Since all four semicircles are 1/4 of the full circle, the total perimeter is equivalent to one full circle.

The correct value of r is 2.

What is the power inverse variation?

Inverse variation is the relationship between two variables, such that if the value of one variable increases then the value of the other variable decreases.

The equation for a power inverse variation is y = kx^r,

where k is a constant, x is the independent variable, y is the dependent variable, and r is the power.

We have given the set of ordered pairs,

we can find the value of r by substituting in the known values of x and y and solving for r.

(1/2,20) => 20 = 5 * (1/2)^r => r = log(20)/log(1/2) = -2

So the answer is:

r = 2

Hence, the correct value of r is 2.

To learn more about the power inverse variation visit,

https://brainly.com/question/14978895

#SPJ4

Answer: Keep it in the calculation

Step-by-step explanation:

Answer: 20x

Step-by-step explanation:

The US tax policy encourage long-term investments by providing a lower tax rate for long-term gains.

Therefore the answer is d. by providing a lower tax rate for long-term gains.

In the United States, the tax code provides a lower tax rate for long-term capital gains, which are gains on investments held for more than one year, as a way to encourage long-term investments. This means that when an investor sells an asset that they have held for more than one year, they will pay a lower tax rate on the gain than they would if they had held the asset for less than one year. This provides an incentive for investors to hold on to their investments for a longer period of time, rather than engaging in short-term buying and selling.

To know more on tax policy

https://brainly.com/question/24195988

#SPJ4

Step-by-step explanation:

(9-12)×5+13-2

=(-3)×5+13-2, (frist bracket )

=-15+13-2

=-4

Answer:

(9-12)x5+13-2= -4

Step-by-step explanation:

1. Solve the equation in parenthesis. 9-12 is -3. If you use a number line and add 9, then subtract twelve, you'll be three behind zero!

2. Then multiply -3 by five which is -15. -15+13 is -2, (since the thirteen is positive, it cancels out thirteen negative ones, and leaves us with two negative ones)

3. -2 -2=-4 (Negative two, subtracted by positive two, is negative four) subtracting a positive number, is the same as adding its opposite. Example. 8-5=3 (as we all know). And 8+-5=3. Numbers that have the same absolute value are opposites. AKA Numbers that are the same distance away from zero. -5 and 5 are both 5 spaces from zero!

The number of dimes are 2 and number of nickels are 8 according to the sum and number of coins.

Let the number of dimes be x. The number of nickels will be 4x. Also, as per the known fact, the value of dimes is 0.1 and value of nickels is 0.05. Keeping the values in formula -

0.05x + 0.1×4x = 0.90

0.05x + 0.4x = 0.90

Performing addition on Left Hand Side of the equation

0.45x = 0.9

Rewriting the equation

x = 0.9/0.45

Performing division on Right Hand Side of the equation

x = 2

Number of dimes = 2

Number of nickels = 4×2

Performing multiplication

Number of nickels = 8

Thus, there 2 dimes and 8 nickles.

Learn more about coins -

https://brainly.com/question/24342899

#SPJ4

On solving the provided question we cans ay that the upper bound for the integral is 1/(n+1).

In mathematics, integrals translate integers into functions that express concepts like displacement, area, and volume that result from the combination of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas. The main goal of calculus is to work with derivatives and integrals. Primitives and inverse derivatives are other terms for integral. Integration is essentially utilized to determine the area of 2D space and determine the volume of 3D objects. As a result, calculating an integral of a function with respect to x entails calculating the area between the curve and the x-axis.

The maximum value of the integrand on the interval [0, 1] is:

f(x) = 5x(1 + x)^(0.5)

At x = 1, f(x) = 5(1 + 1)^(0.5) = 5√2.

Therefore, an upper bound for the integral is:

In ≤ 5√2∫x^n dx

Using integration by parts, we obtain:

In ≤ 5√2[x^(n + 1)/(n + 1)]_0^1

= 5√2/ (n + 1)

Therefore, the upper bound for the integral is 1/(n+1).

To know more about integral visit:

https://brainly.com/question/18125359

#SPJ4

[tex] {2x}^{4} = 50 \\ = > {x}^{4} = \frac{50}{2} \\ = > {x}^{4} = 25 \\ = > {x}^{4} - 25 = 0 \\ = > ( {x}^{2} + 5)( {x}^{2} - 5) = 0 \\ = > {x}^{2} - 5 = 0 \\ > (x - 5)(x + 5) = 0 \\ = > x = 5 \: \: and \: \: - 5[/tex]

Answer:

5, -5

Hope it helps.

Please send your query through comment section.

Answer:

To determine if Tim is correct in stating that he has paid his fair share of the total cost, we need to calculate the total cost of the dinner and compare it to the cost of the desserts Tim paid for.

Will paid for 2 pizzas at a cost of $3.75 each, for a total of 2 * $3.75 = $7.50

Tim paid for 3 desserts at a cost of $1.09 each, for a total of 3 * $1.09 = $3.27

The total cost of the dinner is $7.50 + $3.27 = $10.77

To check if Tim has paid his fair share, we need to compare the cost of the desserts he paid for ($3.27) to the total cost of the dinner ($10.77)

$3.27 is 30.3% of $10.77, meaning Tim paid for around 30% of the dinner.

In this case, it's not fair to say that Tim has paid his fair share of the total cost, since he paid for only around 30% of the dinner, and as such, this cost should be split among the three of them.

It would be more accurate to say that Tim has paid a portion of the dinner, but not his fair share.

The percentage change in the Touchdown passes is 28 %

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.

Andy Dalton's throw is 18 touchdaown

In last saeson he threw 25 touchdown

So, the percentage change = (25-18)/25 * 100 = 28 %

To learn more about Percentage refer to  :

https://brainly.com/question/14161740

#SPJ1

The function c(x)  models the number of cookies sold each day by a bakery during a 10-day period between (c) days 02 and 03 did the number of cookies sold by the bakery increase.

Cox Proportional hazards Model:

Sir David Cox observed that if the proportional hazards assumption holds (or, is assumed to hold) then it is possible to estimate the effect parameter (s), denoted β₁  below, without any consideration of the full hazard function. This approach to survival data is called application of the Cox proportional hazards model, sometimes abbreviated to Cox model or to proportional hazards model. However, Cox also noted that biological interpretation of the proportional hazards assumption can be quite tricky.

Let Xi = ([tex]X_i1[/tex] , … , [tex]X_in[/tex]) be the realized values of the covariates for subject i. The hazard function for the Cox proportional hazards model has the form:

λ (t I [tex]X_i[/tex]) = λ₀(t) exp( β₁[tex]X_i1[/tex] +...... + βₙ[tex]X_in[/tex])

             = λ₀ (t) exp( [tex]X_i . \beta[/tex])

This expression gives the hazard function at time t for subject i with covariate vector (explanatory variables) Xi. Note : that between subjects, the baseline hazard is identical (has no dependency on i). The only difference between subjects' hazards comes from the baseline scaling factor exp [tex](X_i . \beta)[/tex].

⁡

Learn more about Function:

https://brainly.com/question/12431044

#SPJ4

Answer:

Step-by-step explanation:

the answer is 44

The ratio that represents the sine of angle C is 65/97

From the given information, we are to determine the ratio that represents the sine of angle C

From SOH CAH TOA, we know that

sin(angle) = Opposite / Hypotenuse

Given triangle CDE with C as reference angle,

DE = Opposite

CD = Hypotenuse

Then,

We can write that

sin(C) = DE/CD

From the given information

DE = 65

CD = 97

Thus,

sin(C) = 65/97

Hence, the ratio is 65/97

Learn more on Determining the ratio of the sine of an angle here: https://brainly.com/question/15883273

#SPJ1

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).
Thus, in this case, correct option is:b

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

To know more about stem-and-leaf display refer to:

brainly.com/question/8649311

#SPJ4

The algebraic expression representing the total cost of the rental after d additional days is 75 + 10d.

An algebraic expression is a combination of constants, numbers, values, and variables.

Algebraic expressions are not the same as equations because they lack the equation symbol and do not lay claim to the equality of mathematical expressions.

The rental cost on the first day = $75

The rental cost per additional day = $10

The number of additional days Clyde uses the tuxedo = d

Algebraic expression to represent the situation:

75 + 10d

Thus, an algebraic expression we can use to represent the total cost that Clyde incurred for renting the tuxedo after d additional days is 75 + 10d.

Learn more about algebraic expressions at https://brainly.com/question/24875240

#SPJ1

Yes, you can assume both statements. In the diagram, planes W and X intersect at the line KL.

To learn more about Deductive reasoning refer to:

https://brainly.com/question/860494

#SPJ1

The smallest bouncy prime is 2.

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself.

A number n is said to be a bouncy prime if it is prime, and the sum of the positive divisors of n (also known as the sum of divisors function, denoted f(n)) is also prime.

The smallest prime number is 2. The sum of divisors of 2 is

1+2 = 3

which is also prime, so 2 is a bouncy prime.

Since 2 is the smallest prime and it is a bouncy prime, the smallest bouncy prime is 2.

To know more on prime numbers

https://brainly.com/question/10751577

#SPJ4

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

To calculate the p(z ≥ 2.11), you can use a z-table to look up the z-score. This z-score falls in the area of the tail of the distribution, which means it is the area to the right of 2.11.

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

learn more about area here

https://brainly.com/question/27683633

#SPJ4