Expression A decays at a rate of 5% every three months, while Expression B grows at a rate of 12% every four months and Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.
<h3>What is an Expression ?</h3>
It is a mathematical statement tat consists of variables , constants and mathematical operators.
It is given that
The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
From observing both the expression the initial value is when t = 0
when t = 0,
A = 624
B = 725
and so Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months and Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.
To know more about Expression
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1/2+1/8+1/4=7/8
4/8+1/8+2/8=7/8
1-7/8 = 3/8
the fourth on inherited 3/8 of the estate.
Answer: The owner reaches at Rs. 56438.28 after 30 years.
Step-by-step explanation:
Since we have given that
Sum = Rs. 17000
Rate of compounded daily = 4%
Number of years = 30 years
So, Using "compound interest formula" we get that :
Hence, The owner reaches at Rs. 56438.28 after 30 years.
Answer:
There is multiple. You didnt give options so heres all of them.
Step-by-step explanation:
6 : 8 9 : 12 12 : 16 15 : 20 18 : 24 21 : 28 24 : 32 27 : 36 30 : 40 33 : 44 36 : 48 39 : 52 42 : 56 45 : 60 48 : 64 51 : 68 54 : 72 57 : 76 60 : 80 63 : 84 66 : 88 69 : 92 72 : 96 75 : 1007 8 : 104 81 : 108 84 : 112 87 : 116 90 : 120 93 : 124 96 : 128 99 : 132 102 : 136 105 : 140 108 : 144 111 : 148 114 : 152 117 : 156 120 : 160 123 : 164 126 : 168 129 : 172 132 : 1761 35 : 180 138 : 184 141 : 188 144 : 192 147 : 196 150 : 200 153 : 204 156 : 208 159 : 2121 62 : 216 165 : 220 168 : 224 171 : 228 174 : 232 177 : 236 180 : 240 183 : 244 186 : 248 189 : 252 192 : 256 195 : 260 198 : 264 201 : 268 204 : 272 207 : 276 210 : 280 213 : 284 216 : 288 219 : 292 222 : 296 225 : 300 228 : 304 231 : 308 234 : 312 237 : 316 240 : 320 243 : 324246 : 328249 : 332252 : 336255 : 340258 : 344261 : 348264 : 352267 : 356270 : 360273 : 364276 : 368279 : 372282 : 376285 : 380288 : 384291 : 388
etc etc
Answer:
a) 
b) 
c) ![r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7%2830095%29-%284210%29%2849%29%7D%7B%5Csqrt%7B%5B7%282595100%29%20-%284210%29%5E2%5D%5B7%28354%29%20-%2849%29%5E2%5D%7D%7D%3D0.7503)
Step-by-step explanation:
Data given
x: 500, 700, 750, 590 , 540, 650, 480
y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50
Part a
We want to create a linear model like this :
Wehre
And:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
And the line would be:
Part b
The correlation coefficient is given by:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=7 
The determination coefficient is given by:
Part c
