Respuesta :
1 month=10
2 months= 15
3 months= 20
4 months= 25
5 months= 30
6 months= 35
7 months= 40
8 months=45
9 months= 50
10 months= 55
11 months= 60
12 months= 65
13 months= 70
14 months= 75
15 months =80
16 months= 85
17 months= 90
18 months= 95
19 months= 100
20 months= 105
21 months= 110
22 months=115
23 months 120
25 months= 125
26 months=130
27 months=135
28 months=140
29 months= 145
30 months= 150
31 months= 155
32 months =160
33 months= 165
34 months=170
35 months= 175
OR YOU COULD DO THIS:
Since he wants to save up to $175 and every month he add five dollars. You could divide 5 to 175 and it would equal 35 so he would have to save until 35 months to be able to afford the saddle.
2 months= 15
3 months= 20
4 months= 25
5 months= 30
6 months= 35
7 months= 40
8 months=45
9 months= 50
10 months= 55
11 months= 60
12 months= 65
13 months= 70
14 months= 75
15 months =80
16 months= 85
17 months= 90
18 months= 95
19 months= 100
20 months= 105
21 months= 110
22 months=115
23 months 120
25 months= 125
26 months=130
27 months=135
28 months=140
29 months= 145
30 months= 150
31 months= 155
32 months =160
33 months= 165
34 months=170
35 months= 175
OR YOU COULD DO THIS:
Since he wants to save up to $175 and every month he add five dollars. You could divide 5 to 175 and it would equal 35 so he would have to save until 35 months to be able to afford the saddle.
Answer:
7 months
Step-by-step explanation:
Given: Veronica is saving money to buy a saddle for her horse that cost [tex]\$175[/tex]. She plans to save [tex]\$10[/tex] the first month and then increase the amount she saved by [tex]\$5[/tex] each month after the first month.
To Find: How many month will it take her to save [tex]\$175[/tex].
Solution:
Amount veronica has to save for buying saddle [tex]=\$175[/tex]
Amount increased every month [tex]\$5[/tex]
Amount saved by veronica in first month [tex]=\$10[/tex]
Amount saved by veronica in first month [tex]=\$15[/tex]
Amount saved by veronica in first month [tex]=\$20[/tex]
Therefore this forms as Arithmetic progression,
Let month it take to save by [tex]\$175[/tex] veronica is [tex]=\text{n}[/tex]
Sum of [tex]\text{n}[/tex] terms in AP is [tex]\frac{\text{n}}{2}(2\text{a}+(\text{n}-1)\text{d})[/tex]
Putting vales in equation
[tex]175=\frac{\text{n}}{2}(2\times10+(\text{n}-1)5)[/tex]
[tex]350=5\text{n}^{2}+15\text{n}[/tex]
[tex]5\text{n}^{2}+15\text{n}-350=0[/tex]
[tex]\text{n}^{2}+3\text{n}-70=0[/tex]
[tex]\text{n}=-10,7[/tex]
As number of months can not be negative,
Hence the it will take [tex]7[/tex] month for veronica to save [tex]\$175[/tex] for saddle.
