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tresset_1 [31]
2 years ago
11

In their stamp collections, Marlee has 62 stamps, Xavier has 56 stamps, Nicki has 48 stamps, and Cameron has 89 stamps. Estimate

how many stamps they would have if they combined their collections by rounding to the nearest ten first and then adding the rounded numbers.
Mathematics
1 answer:
nalin [4]2 years ago
5 0

Answer:260 is the answer

Step-by-step explanation:

marlee=60 xavier=60 nicki=50 cameron=90 60+60=120 120+50=170 170+90 =260

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Sam borrows $5700 at 4.5% simple interest for 3 years. Find the interest
kherson [118]

Answer:

The interest is

<h2>$ 769.50</h2>

Step-by-step explanation:

Simple interest is given by

I =   \frac{P \times  R  \times T}{100}

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

I  =  \frac{5700  \times 4.5 \times 3}{100}

I =  \frac{76950}{100}

We have the final answer as

I = $ 769.50

Hope this helps you

3 0
3 years ago
Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95
Virty [35]

Answer:

L(x)=1+\dfrac{1}{3}x

\sqrt[3]{0.95} \approx 0.9833

\sqrt[3]{1.1} \approx 1.0333

Step-by-step explanation:

Given the function: g(x)=\sqrt[3]{1+x}

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial,L(x)=f(a)+f'(a)(x-a)

a=0

g(0)=\sqrt[3]{1+0}=1

g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}

Therefore:

L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x

(b)\sqrt[3]{0.95}= \sqrt[3]{1-0.05}

When x = - 0.05

L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833

\sqrt[3]{0.95} \approx 0.9833

(c)

(b)\sqrt[3]{1.1}= \sqrt[3]{1+0.1}

When x = 0.1

L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333

\sqrt[3]{1.1} \approx 1.0333

7 0
3 years ago
Please solve with explanation 8 points
11111nata11111 [884]

Answer:

See below.

Step-by-step explanation:

Given :-

x² + bx + c = 0 if x₁ + x₂ = -b and x₁x₂ = c

Solving :-

a) x₁ = 1/2 and x₂ = -3/4

=> x² + -(1/2 + -3/4)x + 1/2(-3/4)

=> x² + -(-1/4)x + (-3/8)

=> x² + 1/4x - 3/8

=> 8x² + 2x - 3 = 0

b) x₁ = 1 + √5 and x₂ = 1 - √5

=> x² + -(1 + √5 + 1 - √5)x + (1 + √5)(1 - √5)

=> x² - 2x + 1 - 5

=> x² - 2x - 4 = 0

3 0
2 years ago
The vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4). If a line through (2,2) p
Hatshy [7]

Answer:

slope =0

Step-by-step explanation:

Given that the vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4).

The rectangle has length = 7 and width =4

We know rectangle has two lines of symmetry which are i) vertical line through mid point ii) Horizontal line through mid point

Since the line passes through (2,2) we have the line as middle line.

Hence the required line isy =2

Slope of the line =0

3 0
3 years ago
Summer campers were surveyed about their favorite fruit. The resulting table shows the data collected from the survey. Use the i
NemiM [27]

Answer:

Step-by-step explanation: 90

7 0
3 years ago
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